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Search: id:A120495
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| A120495 |
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A vector group determinant sequence in which the next element is made by a sum of the older elements over a six element sl(2,2) vector like 2 X 2 matrix group. |
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+0
2
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| 0, 1, 1, 2, 3, 5, 8, 114, 15476, 241627833, 58387782699138722, 3409133182630874269408219655206824, 11622189056914914134468868887744166891725722891927072453845737486189
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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An absolute value was used in the determinant step to keep the result positive.
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FORMULA
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s[1] = {{1, 0}, {0, 1}}; s[2] = {{0, 1}, {1, 1}}; s[3] = {{1, 1}, {1, 0}}; s[4] = {{1, 0}, {1, 1}}; s[5] = {{1, 1}, {0, 1}}; s[6] = {{0, 1}, {1, 0}}; a[0] = {0, 1, 1, 2, 3, 5}; a[1] = {1, 1, 2, 3, 5, 8}; a[n_] := a[n] = {a[n - 1][[2]], a[n - 1][[3]], a[n - 1][[4]], a[n - 1][[5]], a[n - 1][[6]], Abs[ Det[Sum[a[n - 1][[i]]*s[i], {i, 1, 6}]]]} a(n)=a[n][[1]]
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MATHEMATICA
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s[1] = {{1, 0}, {0, 1}}; s[2] = {{0, 1}, {1, 1}}; s[3] = {{1, 1}, {1, 0}}; s[4] = {{1, 0}, {1, 1}}; s[5] = {{1, 1}, {0, 1}}; s[6] = {{0, 1}, {1, 0}}; a[0] = {0, 1, 1, 2, 3, 5}; a[1] = {1, 1, 2, 3, 5, 8}; a[n_] := a[n] = {a[n - 1][[2]], a[n - 1][[3]], a[n - 1][[4]], a[n - 1][[5]], a[n - 1][[6]], Abs[ Det[Sum[a[n - 1][[i]]*s[i], {i, 1, 6}]]]} Table[a[n][[1]], {n, 0, 15}]
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CROSSREFS
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Sequence in context: A045504 A068500 A042667 this_sequence A107477 A064358 A109736
Adjacent sequences: A120492 A120493 A120494 this_sequence A120496 A120497 A120498
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Aug 06 2006
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