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Search: id:A123231
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| 1, 2, 1, 3, 2, 5, 3, 8, 5, 13, 8, 21, 13, 34, 21, 55, 34, 89, 55, 144, 89, 233, 144, 377, 233, 610, 377, 987, 610, 1597, 987, 2584, 1597, 4181, 2584, 6765, 4181, 10946, 6765, 17711, 10946, 28657, 17711, 46368, 28657, 75025, 46368, 121393, 75025, 196418
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OFFSET
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1,2
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COMMENT
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All a(n) are Fibonacci numbers A000045[n]: a(2n-1) = Fibonacci[n], a(2n) = Fibonacci[n+2], a(2n-1) = a(2n+2). - Alexander Adamchuk (alex(AT)kolmogorov.com), Oct 08 2006
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FORMULA
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a(n) = Fibonacci[A028242[n+2]]. a(n) = Fibonacci[A030451[n+1]] = Fibonacci[3/4 -(-1)^(n+1)*3/4 +(n+1)/2]. - Alexander Adamchuk (alex(AT)kolmogorov.com), Oct 08 2006
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MATHEMATICA
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p[0, x] = 1; p[1, x] = x + 1; p[k_, x_] := p[k, x] = x*p[k - 1, x] + (-1)^(n + 1)p[k - 2, x]; Table[Sum[CoefficientList[p[n, x], x][[m]], {m, 1, n + 1}], {n, 0, 20}]
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CROSSREFS
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Cf. A053602, A051792.
Cf. A000045, A028242, A030451.
Sequence in context: A132091 A051792 A053602 this_sequence A058736 A097451 A005916
Adjacent sequences: A123228 A123229 A123230 this_sequence A123232 A123233 A123234
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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), Oct 06 2006
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EXTENSIONS
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More terms from Alexander Adamchuk (alex(AT)kolmogorov.com), Oct 08 2006
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