A063287 Dimension of the space of weight n cuspidal newforms for Gamma_1( 14 ).

-1, 1, 4, 6, 8, 10, 12, 12, 16, 16, 20, 22, 24, 22, 28, 28, 32, 32, 36, 34, 40, 38, 44, 44, 48, 44, 52, 50, 56, 54, 60, 56, 64, 60, 68, 66, 72, 66, 76, 72, 80, 76, 84, 78, 88, 82, 92, 88, 96, 88, 100, 94, 104, 98, 108, 100, 112, 104, 116, 110, 120, 110

Offset

2,3

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

(End)

Crossrefs

Cf. A008586 (bisection), A063214 (bisection).

Sequence in context: A240024 A227405 A061408 * A228358 A134331 A276040

Adjacent sequences: A063284 A063285 A063286 * A063288 A063289 A063290

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved