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Search: id:A120656
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| A120656 |
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6 X 6 trigonal prism bonding graph matrix Markov: this molecular structure is the major symmetry between the tetrahedron and cube: characteristic polynomial:12 x^2 - 4 x^3 - 9 x^4 + x^6. |
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+0
1
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| 0, 4, 18, 50, 166, 474, 1478, 4330, 13206, 39194, 118438, 353610, 1064246, 3185914, 9571398, 28686890, 86115286, 258236634, 774928358, 2324348170, 6973918326, 20920007354, 62763517318, 188283561450, 564864665366, 1694566034074
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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M = {{0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0}} v[1] = {0, 1, 1, 2, 3, 5} v[n_] := v[n] = M.v[n - 1] a(n) = v[n][[1]]
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MATHEMATICA
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M = {{0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0}} v[1] = {0, 1, 1, 2, 3, 5} v[n_] := v[n] = M.v[n - 1] a = Table[Floor[v[n][[1]]], {n, 1, 50}]
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CROSSREFS
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Adjacent sequences: A120653 A120654 A120655 this_sequence A120657 A120658 A120659
Sequence in context: A102928 A081528 A056147 this_sequence A092349 A027659 A059133
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Aug 10 2006
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