A063322 Dimension of the space of weight n cuspidal newforms for Gamma_1( 49 ).

-1, 69, 164, 258, 352, 446, 540, 634, 728, 822, 916, 1011, 1104, 1198, 1292, 1387, 1480, 1575, 1668, 1763, 1856, 1951, 2044, 2140, 2232, 2327, 2420, 2516, 2608, 2704, 2796, 2892, 2984, 3080, 3172, 3269, 3360, 3456, 3548, 3645, 3736, 3833

Offset

2,2

Links

Table of n, a(n) for n=2..43.

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 25 2016: (Start)

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

G.f.: -x^2*(1 -69*x -164*x^2 -258*x^3 -353*x^4 -377*x^5 -377*x^6 -307*x^7 -212*x^8 -118*x^9 -23*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A044320 A044701 A295926 * A118215 A033672 A020198

Adjacent sequences: A063319 A063320 A063321 * A063323 A063324 A063325

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved