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Topic: Centered triangular number

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	Unclaimed Baggage Center Airport Arkansas Northwest Regional (Site not responding. Last check: 2007-11-02)
		Centered triangular number - A centered triangular number is a centered figurate number that represents a triangle with a dot in the center and all other dots surrounding the center in successive triangular layers.
		Centered pentagonal number - A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers.
		Centered decagonal number - A centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot in successive decagonal layers.
	www.fnbealinc.com /unclaimedbaggagecenter.html (350 words)

	4 (number) - Biocrawler (Site not responding. Last check: 2007-11-02)
		Four is the smallest composite number, its proper divisors being 1 and 2.
		As a consequence of this, it is the smallest Smith number.
		Four is the number of nucleobase types in DNA and RNA - adenine, guanine, cytosine, thymine (uracil in RNA).
	www.biocrawler.com /encyclopedia/Four (1319 words)

	Numerical Geometry
		Triangular Number is the sum of all the numbers from 1 to n.
		Square Numbers are also associated the polar concepts of Confinement (due to the limitations imposed by structure) and Expansion (in the sense of the Four Directions).
		The Number 19 is the number of Physical Manifestation.
	www.biblewheel.com /GR/GR_Figurate.asp (1576 words)

	Runsums Results
		Numbers that are the sum of a run of length 2 are of the form n+(n+1) which is 2n+1, that is, every odd number is a runsum of length 2.
		The smallest number with a runsum of length L is 1+2+3+...+L=T(L).
		This is Sloane's A005898 also called the Centred Cubic numbers since they are the numbers of dots in a cube of side 1, then surround it by a cube of 2 dots on each side, then another outer coating of a cube of 3 dots per side (and 9 per face), and so on.
	www.mcs.surrey.ac.uk /Personal/R.Knott/runsums/runsumsref.html (2619 words)

	Untitled Document
		st triangular number is represented by the white triangles, the nth triangular number is represented by the fl triangles, and the total number of triangles is the square number
		The following numbers cannot be represented using fewer than five distinct squares: 55, 88, 103, 132, 172, 176, 192, 240, 268, 288, 304, 368, 384, 432, 448, 496, 512, and 752, together with all numbers obtained by multiplying these numbers by a power of 4.
		The numbers that are not the difference of two squares are 2, 6, 10, 14, 18,...
	users.skynet.be /fa956617/math/topics/SquareNumber.htm (1976 words)

	Abramovich, Fujii, and Wilson article
		Therefore the number of dots in the parallelogram is n(n+1), and the number of dots in the triangle is
		Likewise in the case of square numbers, one can visualize that pentagonal numbers are constituted with triangular numbers: in particular, this sketch presents a pentagonal number of rank 5 as the sum of a triangular number of rank 5 and two triangular numbers of rank 4.
		One can visualize that any polygonal number of side m and of rank n is constituted with a triangular number of the same rank and m-3 (3 in the case of a hexagonal number) triangular numbers of the previous rank.
	jwilson.coe.uga.edu /Texts.Folder/AFW/AFWarticle.html (8744 words)

	Patent Numbers
		With numerous illustrations, this is an original, fun-filled, patent numbers and unusual introduction to numbers patent numbers and their role in creativity, computers, games, practical research, patent numbers and absurd adventures that teeter on the edge of logic patent numbers and insanity.
		Unclaimed Baggage Center Airport Arkansas Northwest Regional - Unclaimed Baggage Center Centered triangular number - A centered triangular number is a centered figurate number that represents a triangle with a dot in the center and all other dots surrounding the center in successive triangular layers.
		The centered triangular number for n is given by the formula Centered pentagonal number - A...
	www.webgoni.com /patentnumbers.html (1304 words)

	Notable Properties of Specific Numbers at MROB (Site not responding. Last check: 2007-11-02)
		However, the real numbers that do obey this average outnumber those that don't, and they outnumber by such a great extent, that if you picked a real number at "random" the probability that it would not have this average is 1/infinity.
		The use of three (rather than two or four) is probably due to the fact that three is the minimum necessary to establish a pattern (such as a regular tempo) or to convey the impression of an ongoing sequence or succession.
		The numbers 13, 17 and 173 have been found together in ancient Egyptian records without explanation, but it is conjectured that they express an Egyptian fraction approximation to π.
	home.earthlink.net /~mrob/pub/math/numbers-2.html (1775 words)

	Three sides to city’s manhole story
		In reality, says Pollock of the DPW, Nashua’s triangular lids can’t fall down into the sewers despite what geometry says, because Nashua Foundries built them slightly tapered so the hole is just a little too small to fit the lid.
		Draw lines from one side to the other of a Rouleaux triangle, through the center, and their length will never vary; so it has no dimension shorter than any other that could be used to squeeze the lid through the hole.
		It’s a slow process and triangular covers will remain around for years to come, but like VCRs and afternoon newspapers, they’re on the downward slope to extinction.
	www.drainspotting.com /mirror/nhtelegraph-2003-11-26 (1066 words)

	The Number 37 - The Heart of Wisdom
		The Number 37 is geometrically integrated with the Number 73 - it is the Hexagonal heart of 73 as Star, so 37 / 73 is a Hexagon / Star pair.
		The Number 37 is the only such number less than a thousand, and this is the Number found in the very heart of Genesis 1.1.
		The numbers immediately surrounding it - 36 and 38 - coincide precisely with the expected value of about 3.4 multiples whereas the power set contains 23 combinations that are multiples of 37.
	www.biblewheel.com /GR/GR_37.asp (661 words)

	Pulse-Width Modulator Operates at Various Levels of Frequency and Power - Maxim/Dallas
		Thus, the integrator output is a triangular wave that swings between the levels of ¼ VCC and ¾VCC.
		Its output is a square wave, with a duty cycle that varies from 0% to 100% as VIN varies from ¼ VCC to ¾ VCC (Figure 2).
		The triangular wave's peak-to-peak voltage (the difference in its maximum and minimum voltages) is centered at the VCC/2 bias voltage generated by R
	www.maxim-ic.com /appnotes.cfm/appnote_number/3201 (453 words)

	Centered number - Wikipedia, the free encyclopedia
		Centred numbers are class of series of figurate numbers, each formed by a central dot, surrounded by polygonal layers with a constant number of sides.
		Just as is the case with regular polygonal numbers, the first centered k-gonal number is 1.
		Whereas a prime number p cannot be a regular polygonal number (except of course the second k-agonal number), primes occur often enough in the sequences of centered polygonal numbers.
	en.wikipedia.org /wiki/Centered_number (219 words)

	Ten Ren
		A polygon with ten sides is a decagon,and 10 is a decagonal number.
		Ten is the smallest noncototient, a number that can not be expressed asthe difference between any integer and the total of coprimes below it.
		Ten is the number of n-Queens Problem solutions for nhttp:/.
	www.lottery-news.net /dust43419-ten_ren.html (472 words)

	Polygonal-number pyramids (Site not responding. Last check: 2007-11-02)
		I propose, some early number investigator was curious about the distribution of primes in successive segments of the number line.
		of the natural numbers, the inherent benchmarks of their accumulation from putting them together.
		492 Kb Because the layer lengths alternate between odd and even numbers, the individual entries in each next layer are offset by half a number width from those in the preceding layer.
	www.recoveredscience.com /Primes1ebook06.htm (795 words)

	CoolCleveland.com - Cool Cleveland Sounds Force Majeure
		And I’ve got a thing for numbers and the symbolism and coincidences hiding in them—whether real or perceived.
		So, I know before I drop 409’s Force Majeure into the computer CD player that the number 409 is a prime number, a centered triangular number that has a remainder of 1 when divided by 3 and the quotient (if positive) is the previous regular triangular number.
		And there, big as life, are some relief phone numbers bearing the (you guessed it) “409” area code which covers Beaumont, Galveston, Port Arthur, Jasper and other impacted areas of Southeastern Texas.
	www.coolcleveland.com /index.php?n=Main.CoolClevelandSoundsForceMajeure (456 words)

	Table of Polytope Numbers, Sorted, Through 1,000,000
		It is also the first of an infinite number of multidimensional Polytope Numbers such as the Pentatope (4-Simplex or Hypertetrahedron), Hyperoctahedron, 24-cell, Hyperdodecahedron, and Hypericosahedron -- these Polytope numbers are the subject of recent papers by this author, see References.
		the 1681st Triangular number is also a Square S(41) (see Sloan A001110); and both the initial pair of digits (16) and the final pair of digits (81) are squares.
		Hendecagonal Number, or 11-gonal number, Hen(26); also the Heptagonal Number Hep(36), note that the two digits of the index (36) are also the first and last digit of the Heptagonal Number (base 10)
	magicdragon.com /poly.html (9059 words)

	On the Number 55 (Part 1)
		The 10th triangular number = 1, 3, 6, 10, 15, 21, 28, 36, 45, 55
		Mated with a normal reverse die, this doubled obverse die produced an unknown number of P-mint Cents during the late summer of 1955.
		According to then-Chief Coiner of the Philadelphia Mint Sydney C. Engel, the number of double die obverse coins struck from this die is somewhere between 20,000 and 24,000 pieces.
	www.wisdomportal.com /Numbers/55-1.html (8984 words)

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