

A104085


Coefficient list length of PoincarĂ©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
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OFFSET

1,2


COMMENTS

There is a possibility that these polynomials also represent groups?


LINKS

Table of n, a(n) for n=1..27.


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: A296285 A077482 A141428 * A080663 A248118 A320648
Adjacent sequences: A104082 A104083 A104084 * A104086 A104087 A104088


KEYWORD

nonn,uned


AUTHOR

Roger L. Bagula, May 16 2007


STATUS

approved



