A008633 Molien series for A_10.

1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 55, 75, 97, 128, 164, 212, 267, 340, 423, 530, 653, 807, 984, 1204, 1455, 1761, 2112, 2534, 3015, 3590, 4242, 5013, 5888, 6912, 8070, 9418, 10936, 12690, 14663, 16928, 19466, 22367, 25608, 29292, 33402, 38048, 43216, 49040, 55499, 62747

Offset

0,3

References

D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 105.

Links

Table of n, a(n) for n=0..50.

Index entries for Molien series

Index entries for linear recurrences with constant coefficients, signature (0, 2, 2, 0, -2, -3, -3, 0, 3, 3, 0, 0, 1, 2, 3, 1, -5, -8, -5, 0, 4, 4, 2, 0, 2, 4, 4, 0, -5, -8, -5, 1, 3, 2, 1, 0, 0, 3, 3, 0, -3, -3, -2, 0, 2, 2, 0, -1).

Formula

G.f. (1+x^45)/ prod_{m=1..10} (1-x^m).

a(n) = A008639(n) + A008639(n-45). - R. J. Mathar, Mar 12 2023

Maple

(1+x^45)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/(1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10)

Crossrefs

Sequence in context: A026816 A008639 A341914 * A347576 A238868 A035999

Adjacent sequences: A008630 A008631 A008632 * A008634 A008635 A008636

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from R. J. Mathar, May 24 2008

Status

approved