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A063200 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 15 ). 2
1, 2, 4, 4, 6, 8, 8, 10, 12, 12, 14, 16, 16, 18, 20, 20, 22, 24, 24, 26, 28, 28, 30, 32, 32, 34, 36, 36, 38, 40, 40, 42, 44, 44, 46, 48, 48, 50, 52, 52, 54, 56, 56, 58, 60, 60, 62, 64, 64, 66 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..50.

G. Martin, Dimensions of the spaces of cusp forms and newforms on Gamma_0(N) and Gamma_1(N), J. Numb. Theory 112 (2005) 298-331, Theorem 1.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))

William A. Stein, The modular forms database

Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1).

FORMULA

G.f.: x +2*x^2*(1+x) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015

CROSSREFS

Sequence in context: A186690 A002131 A230641 * A063224 A023847 A279667

Adjacent sequences:  A063197 A063198 A063199 * A063201 A063202 A063203

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 10 2001

STATUS

approved

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Last modified April 19 09:52 EDT 2021. Contains 343110 sequences. (Running on oeis4.)