A063336 Dimension of the space of weight n cuspidal newforms for Gamma_1( 63 ).

-1, 87, 197, 305, 413, 525, 633, 741, 853, 961, 1069, 1179, 1289, 1397, 1509, 1615, 1725, 1835, 1945, 2051, 2165, 2271, 2381, 2489, 2601, 2707, 2821, 2925, 3037, 3145, 3257, 3361, 3477, 3581, 3693, 3799, 3913, 4017, 4133, 4235, 4349

Offset

2,2

Links

Table of n, a(n) for n=2..42.

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 -87*x -197*x^2 -305*x^3 -414*x^4 -438*x^5 -437*x^6 -349*x^7 -243*x^8 -131*x^9 -22*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A067749 A063349 A101259 * A129515 A133524 A304509

Adjacent sequences: A063333 A063334 A063335 * A063337 A063338 A063339

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved