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Search: id:A114695
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| A114695 |
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Integer condensation/ coding of A000045 from four element lengths to three element links. |
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+0
6
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| 2, 2, 4, 104, 143, 169, 4895, 6764, 7921, 229970, 317810, 372100, 10803704, 14930351, 17480761, 507544127, 701408732, 821223649, 23843770274, 32951280098, 38580030724, 1120149658760, 1548008755919, 1812440220361
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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This sequence was inspired by both projective geometry and a transform in elliptical functions of Jacobi functions of four roots to cubic functions of 3 roots. The elements are arranged so that they come out in order of magnitude.
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FORMULA
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{a(n),a(n+1),a(n+2)}= {(F[4*n] + F[4*n + 1])*F[4*n + 3], (F[4*n] + F[4*n +2])*F[4*n + 3], (F[4*n + 1] + F[4*n + 2])*F[4*n + 3]}
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MATHEMATICA
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F[0] = 0; F[1] = 1; F[n_] := F[n] = F[n - 1] + F[n - 2] a = Flatten[Table[{(F[4*n] + F[4*n + 1])*F[4*n + 3], (F[4*n] + F[4*n + 2])*F[4*n + 3], (F[4*n + 1] + F[4*n + 2])*F[4*n + 3]}, {n, 0, 12}]]
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CROSSREFS
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Cf. A000045.
Adjacent sequences: A114692 A114693 A114694 this_sequence A114696 A114697 A114698
Sequence in context: A050923 A067700 A037010 this_sequence A134084 A100247 A011342
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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), Feb 21 2006
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