A063290 Dimension of the space of weight n cuspidal newforms for Gamma_1( 17 ).

-1, 5, 16, 28, 40, 52, 64, 76, 88, 100, 112, 122, 136, 148, 160, 170, 184, 194, 208, 218, 232, 242, 256, 264, 280, 290, 304, 312, 328, 336, 352, 360, 376, 384, 400, 406, 424, 432, 448, 454, 472, 478, 496, 502, 520, 526, 544, 548, 568, 574, 592

Offset

2,2

Links

Table of n, a(n) for n=2..52.

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 (0, 0, 0, 1, 0, 1, 0, 0, 0, -1).

Formula

From Colin Barker, Feb 24 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -5*x -16*x^2 -28*x^3 -41*x^4 -47*x^5 -49*x^6 -43*x^7 -32*x^8 -20*x^9 -7*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A063228 A063135 A030573 * A299882 A212457 A134594

Adjacent sequences: A063287 A063288 A063289 * A063291 A063292 A063293

Keyword

sign,changed

Author

N. J. A. Sloane, Jul 14 2001

Status

approved