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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
1
0, 12, 173, 861, 4979, 25545, 132419, 670689, 3390203, 17039337, 85505555, 428366577, 2144524907, 10730349369, 53675623811, 268448345025, 1342455212891, 6712910908041, 33566470310387, 167838076383633 (list; graph; listen)
OFFSET

0,2

COMMENT

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: A012489 A027772 A099270 this_sequence A099930 A052208 A045952

Adjacent sequences: A120659 A120660 A120661 this_sequence A120663 A120664 A120665

KEYWORD

nonn

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Aug 10 2006

EXTENSIONS

Edited by njas, Jul 13 2007

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.


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