A020702 Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^5)).

1, 1, 2, 3, 4, 6, 8, 10, 13, 16, 21, 25, 31, 37, 44, 53, 62, 72, 84, 96, 111, 126, 143, 161, 181, 203, 226, 251, 278, 306, 338, 370, 405, 442, 481, 523, 567, 613, 662, 713, 768, 824, 884, 946, 1011, 1080, 1151, 1225, 1303, 1383, 1468, 1555, 1646

Offset

0,3

Comments

Rescaled version of Molien series for self-dual Quebbemann codes over GF(4).

Links

Table of n, a(n) for n=0..52.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Index entries for Molien series

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

Formula

a(n) ~ 1/90*n^3 + 1/60*n^2. - Ralf Stephan, Apr 29 2014

a(n) = floor((146*n^3+39*n^2+276*n+180)/180) - floor((4*n^3+n^2+4*n+2)/5). - Hoang Xuan Thanh, Apr 19 2026

Crossrefs

Different from A067996.

Sequence in context: A055104 A062435 A171997 * A067996 A074715 A394827

Adjacent sequences: A020699 A020700 A020701 * A020703 A020704 A020705

Keyword

nonn,easy

Author

G. Nebe, E. Rains, N. J. A. Sloane, Apr 05 2002

Status

approved