A120662 - OEIS

This site is supported by donations to The OEIS Foundation.

A120662

Sequence produced by 10 X 10 Markov chain based on 10 X 10 pentagonal prism bonding graph (3d analog of D5 dihedral and so(5) groups).

0, 12, 173, 861, 4979, 25545, 132419, 670689, 3390203, 17039337, 85505555, 428366577, 2144524907, 10730349369, 53675623811, 268448345025, 1342455212891, 6712910908041, 33566470310387, 167838076383633 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Characteristic polynomial: 240 x^4 + 352 x^5 + 120 x^6 - 40 x^7 - 25 x^8 + x^10.` `In the 1960's borohydrides were structurally used as analogs to nuclear internal structure models. In this case an so(5) is an analog of a pendagonal prism by way of the D5 dihedral symmetry involved.`
	MATHEMATICA	`M = {{0, 1, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 1, 0}} v[1] = Table[Fibonacci[n], {n, 0, 9}] v[n_] := v[n] = M.v[n - 1] a = Table[Floor[v[n][[1]]], {n, 1, 50}]`
	CROSSREFS	`Sequence in context: A027772 A099270 A187361 * A099930 A052208 A045952` `Adjacent sequences: A120659 A120660 A120661 * A120663 A120664 A120665`
	KEYWORD	`nonn`
	AUTHOR	`Roger Bagula (rlbagulatftn(AT)yahoo.com), Aug 10 2006`
	EXTENSIONS	`Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 13 2007`

Content is available under The OEIS End-User License Agreement .

Last modified February 14 09:57 EST 2012. Contains 205614 sequences.