A063343 Dimension of the space of weight n cuspidal newforms for Gamma_1( 70 ).

-1, 45, 84, 126, 168, 210, 252, 298, 336, 382, 420, 462, 504, 554, 588, 634, 672, 718, 756, 806, 840, 890, 924, 970, 1008, 1062, 1092, 1142, 1176, 1226, 1260, 1314, 1344, 1398, 1428, 1478, 1512, 1570, 1596, 1650, 1680, 1734, 1764, 1822

Offset

2,2

Links

Table of n, a(n) for n=2..45.

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

William A. Stein, The modular forms database

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

Formula

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 -45*x -84*x^2 -126*x^3 -169*x^4 -165*x^5 -169*x^6 -127*x^7 -84*x^8 -46*x^9 +x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A138171 A305154 A280407 * A043184 A039361 A043964

Adjacent sequences: A063340 A063341 A063342 * A063344 A063345 A063346

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved