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A104085
Coefficient list length of Poincaré-like polynomials made from A047845, indices of odd nonprimes (group dimension equivalent plus one).
0
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
OFFSET
1,2
COMMENTS
There is a possibility that these polynomials also represent groups?
FORMULA
P(m)=Product[1 + t^(2*A047845(n) + 1), {n, 1, m}] a(n) =Length[CoefficientList[P(n),x]]
MATHEMATICA
(* 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]}]
CROSSREFS
Cf. A047845.
Sequence in context: A077482 A141428 A371344 * A080663 A248118 A320648
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, May 16 2007
STATUS
approved