A063280 - OEIS

A063280

Dimension of the space of weight n cuspidal newforms for Gamma_1( 7 ).

-1, 0, 1, 3, 5, 7, 9, 11, 13, 15, 17, 17, 21, 23, 25, 25, 29, 29, 33, 33, 37, 37, 41, 39, 45, 45, 49, 47, 53, 51, 57, 55, 61, 59, 65, 61, 69, 67, 73, 69, 77, 73, 81, 77, 85, 81, 89, 83, 93, 89, 97, 91, 101, 95, 105, 99, 109, 103, 113, 105, 117, 111

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OFFSET

2,4

LINKS

Table of n, a(n) for n=2..63.

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 -x^2 -3*x^3 -6*x^4 -7*x^5 -9*x^6 -8*x^7 -7*x^8 -5*x^9 -2*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

CROSSREFS

Cf. A016813 (bisection)

Sequence in context: A118137 A160931 A160924 * A352874 A249123 A094042

Adjacent sequences: A063277 A063278 A063279 * A063281 A063282 A063283

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved