A063373 Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).

-1, 141, 302, 463, 625, 786, 948, 1107, 1271, 1430, 1594, 1752, 1917, 2074, 2240, 2396, 2563, 2719, 2886, 3040, 3209, 3363, 3532, 3685, 3855, 4007, 4178, 4329, 4501, 4652, 4824, 4973, 5147, 5296, 5470, 5618, 5793, 5940, 6116, 6262, 6439

Offset

2,2

Links

Table of n, a(n) for n=2..42.

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

William A. Stein, The modular forms database

Formula

Conjectures from Colin Barker, Feb 25 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -141*x -302*x^2 -463*x^3 -626*x^4 -645*x^5 -647*x^6 -503*x^7 -344*x^8 -181*x^9 -20*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A045936 A228598 A031892 * A145192 A228597 A255154

Adjacent sequences: A063370 A063371 A063372 * A063374 A063375 A063376

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved