A063321 Dimension of the space of weight n cuspidal newforms for Gamma_1( 48 ).

-1, 23, 49, 77, 103, 131, 157, 185, 211, 239, 265, 293, 319, 347, 373, 401, 427, 455, 481, 509, 535, 563, 589, 617, 643, 671, 697, 725, 751, 779, 805, 833, 859, 887, 913, 941, 967, 995, 1021, 1049, 1075, 1103, 1129, 1157, 1183, 1211, 1237

Offset

2,2

Comments

Conjecture: a(n) = 13*(n + (n-1)mod 2) + 14*(n + n mod 2) - 72 for n > 2. - Peter Luschny, Mar 05 2012

Links

Table of n, a(n) for n=2..48.

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

William A. Stein, The modular forms database

Formula

a(n) = (-(-1)^n+54*n-117)/2 for n>2. a(n) = a(n-1)+a(n-2)-a(n-3) for n>5. G.f.: x^2*(-1+24*x+27*x^2+4*x^3)/((1-x)^2*(1+x)). [Colin Barker, Sep 28 2012]

Crossrefs

Sequence in context: A044481 A132764 A029493 * A176660 A185187 A157095

Adjacent sequences: A063318 A063319 A063320 * A063322 A063323 A063324

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved