A063292 Dimension of the space of weight n cuspidal newforms for Gamma_1( 19 ).

-1, 7, 21, 36, 51, 66, 81, 96, 111, 126, 141, 154, 171, 186, 201, 214, 231, 244, 261, 274, 291, 304, 321, 332, 351, 364, 381, 392, 411, 422, 441, 452, 471, 482, 501, 510, 531, 542, 561, 570, 591, 600, 621, 630, 651, 660, 681, 688, 711, 720

Offset

2,2

Links

Table of n, a(n) for n=2..51.

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

William A. Stein, The modular forms database

Formula

Conjectures 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 -7*x -21*x^2 -36*x^3 -52*x^4 -59*x^5 -61*x^6 -53*x^7 -39*x^8 -24*x^9 -8*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: A147587 A208543 A009475 * A045524 A125228 A024837

Adjacent sequences: A063289 A063290 A063291 * A063293 A063294 A063295

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved