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Search: id:A104085
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| A104085 |
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Coefficient list length of Poincare-like polynomials made from A047845, indices of odd nonprimes (group dimension equivalent plus one). |
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+0
1
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| 1, 2, 11, 26, 47, 72, 99, 132, 167, 206, 251, 300, 351, 406, 463, 526, 591, 660, 735, 812, 893, 978, 1065, 1156, 1249, 1344, 1443
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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There is a possibility that these polynomials also represent groups?
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FORMULA
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P(m)=Product[1 + t^(2*A047845(n) + 1), {n, 1, m}] a(n) =Length[CoefficientList[P(n),x]]
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MATHEMATICA
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(* Make A047845*) a = Flatten[Table[If[PrimeQ[2*n + 1] == False, n, {}], {n, 0, 50}]]; (* find lengths of polynomials*) Table[Length[CoefficientList[Product[1 + t^(2*a[[n]] + 1), {n, 1, m}], t]], { m, 0, Length[a]}]
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CROSSREFS
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Cf. A047845.
Sequence in context: A012251 A077482 A141428 this_sequence A080663 A141464 A139211
Adjacent sequences: A104082 A104083 A104084 this_sequence A104086 A104087 A104088
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 16 2007
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