NUMERO OCTOGONAL - Secreto Masonico

Número octogonal

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Un número octogonal es un número figurado que puede ser representado por un octógono.

Un número octogonal n (siendo n > 0) se obtiene mediante la fórmula:

3n^2-2n,

Los primeros números octogonales son:

1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 341, 408, 481, 560, 645, 736, 833, 936.

Los números octogonales alternan paridad.

https://es.wikipedia.org/wiki/N%C3%BAmero_octogonal

mathworld.wolfram.com A polygonal number of the form 507 × 95 - 6k - gif	en.wikipedia.org A centered octagonal number is 2000 × 2000 - 379k - png	archive.lib.msu.edu Octagonal Number 193 × 193 - 4k - gif	numbersaplenty.com Centered octagonal numbers are 402 × 150 - 12k - png
grahamflett.com octagonal number 450 × 125 - 30k - jpg	numbersaplenty.com Octagonal numbers are figurate 329 × 135 - 4k - png	numbersaplenty.com how many octagonal numbers 580 × 357 - 9k - png	smphillips.8m.com sum of octagonal numbers 186 × 124 - 2k - png
numbersaplenty.com octagonal numbers are 1, 479 × 60 - 2k - png	vkedco.blogspot.com 8th octagonal number 374 × 638 - 183k - png	thenewbiblecode.comuf.com of octagonal numbers are 253 × 280 - 39k - jpg	en.wikipedia.org The octagonal number for n can 250 × 52 - 2k - png
theburningmonk.com 4-digit numbers: 8128, 373 × 174 - 6k - png	smphillips.8m.com 496 hexagonal yods in octagon 1818 × 1764 - 79k - png	quadralectics.wordpres... 259 – A number of churches 1024 × 909 - 221k - jpg	en.wikipedia.org the n-th octagonal number. 160 × 43 - 1k - png
gamedev.stackexchange.com The only problem is that the 1024 × 1024 - 98k - png	gamedev.stackexchange.com Here is my basic idea as image 491 × 367 - 18k - png	quadibloc.com of the octagon follows the 624 × 280 - 12k - gif	graphicxtras.com 100 Octagon custom shapes for 350 × 353 - 23k - png

Centered octagonal number

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A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers.^[1] The centered octagonal numbers are the same as the odd square numbers.^[2] Thus, the nth centered octagonal number is given by the formula

(2n-1)^2 = 4n^2-4n+1.

The first few centered octagonal numbers are^[2]

1, 9, 25, 49, 81, 121, 169, 225, 289, 361, 441, 529, 625, 729, 841, 961, 1089.

Calculating Ramanujan's tau function on a centered octagonal number yields an odd number, whereas for any other number the function yields an even number.^[2]

References[edit]

Jump up ^ Teo, Boon K.; Sloane, N. J. A. (1985), "Magic numbers in polygonal and polyhedral clusters" (PDF), Inorganic Chemistry 24: 4545–4558, doi:10.1021/ic00220a025 .
^ Jump up to: ^a ^b ^c "Sloane's A016754 : Odd squares: (2n+1)^2. Also centered octagonal numbers.", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

https://en.wikipedia.org/wiki/Centered_octagonal_number

Número octogonal

Centered octagonal number

See also[edit]

References[edit]