A063296 Dimension of the space of weight n cuspidal newforms for Gamma_1( 23 ).

-1, 12, 33, 55, 77, 99, 121, 143, 165, 187, 209, 229, 253, 275, 297, 317, 341, 361, 385, 405, 429, 449, 473, 491, 517, 537, 561, 579, 605, 623, 649, 667, 693, 711, 737, 753, 781, 799, 825, 841, 869, 885, 913, 929, 957, 973, 1001, 1015, 1045

Offset

2,2

Links

Table of n, a(n) for n=2..50.

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

William A. Stein, The modular forms database

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 -12*x -33*x^2 -55*x^3 -78*x^4 -87*x^5 -89*x^6 -76*x^7 -55*x^8 -33*x^9 -10*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: A328326 A131543 A372026 * A372027 A051624 A367347

Adjacent sequences: A063293 A063294 A063295 * A063297 A063298 A063299

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved