A100779 Expansion of (1+t^2+4*t^3+2*t^4+t^5+3*t^6)/((1-t)^2*(1-t^2)*(1-t^3)^2).

1, 2, 5, 14, 27, 49, 89, 142, 218, 329, 469, 651, 892, 1183, 1542, 1989, 2514, 3138, 3886, 4745, 5741, 6902, 8214, 9706, 11411, 13312, 15443, 17840, 20485, 23415, 26671, 30232, 34140, 38439, 43107, 48189, 53734, 59717, 66188, 73199, 80724, 88816, 97532, 106843

Offset

0,2

Comments

Molien series for 5-dimensional group of order 48.

Links

Table of n, a(n) for n=0..43.

S. Ling and P. Solé, Type II Codes over F_4 + u F_4, European J. Combinatorics, 22 (2001), 983-997.

Index entries for Molien series

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

Maple

(1+t^2+4*t^3+2*t^4+t^5+3*t^6)/((1-t)^2*(1-t^2)*(1-t^3)^2);
seq(coeff(series(%, t, n+1), t, n), n=0..50);

Mathematica

LinearRecurrence[{2, 0, 0, -3, 0, 3, 0, 0, -2, 1}, {1, 2, 5, 14, 27, 49, 89, 142, 218, 329}, 60] (* Harvey P. Dale, Feb 20 2026 *)

Crossrefs

Cf. A106607.

Sequence in context: A289040 A341896 A214203 * A212346 A194124 A349094

Adjacent sequences: A100776 A100777 A100778 * A100780 A100781 A100782

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2005

Status

approved