A063309 Dimension of the space of weight n cuspidal newforms for Gamma_1( 36 ).

-1, 13, 28, 45, 63, 78, 96, 111, 129, 144, 164, 176, 197, 210, 230, 242, 265, 275, 298, 308, 331, 341, 366, 373, 399, 407, 432, 439, 467, 472, 500, 505, 533, 538, 568, 570, 601, 604, 634, 636, 669, 669, 702, 702, 735, 735, 770, 767, 803, 801

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

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 -13*x -28*x^2 -45*x^3 -64*x^4 -65*x^5 -69*x^6 -53*x^7 -38*x^8 -21*x^9 -4*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A047724 A046044 A026919 * A098847 A161453 A038597

Adjacent sequences: A063306 A063307 A063308 * A063310 A063311 A063312

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved