A063312 Dimension of the space of weight n cuspidal newforms for Gamma_1( 39 ).

-1, 29, 72, 114, 156, 196, 238, 280, 320, 362, 404, 448, 486, 528, 568, 614, 652, 696, 734, 780, 816, 862, 900, 948, 982, 1028, 1064, 1114, 1148, 1196, 1230, 1280, 1312, 1362, 1396, 1448, 1478, 1528, 1560, 1614, 1644, 1696, 1726, 1780

Offset

2,2

Links

Table of n, a(n) for n=2..45.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

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

Formula

g.f.: x^2*(x^9 +8*x^8 +43*x^7 +41*x^6 +53*x^5 +73*x^4 +41*x^3 +43*x^2 +30*x -1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)*(x^2 +1)). - Colin Barker, Feb 24 2015

Crossrefs

Sequence in context: A218561 A099775 A139893 * A210499 A161617 A142305

Adjacent sequences: A063309 A063310 A063311 * A063313 A063314 A063315

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved