A063347 Dimension of the space of weight n cuspidal newforms for Gamma_1( 74 ).

-1, 56, 114, 171, 228, 285, 342, 397, 456, 511, 570, 627, 684, 737, 798, 853, 912, 967, 1026, 1079, 1140, 1193, 1254, 1309, 1368, 1419, 1482, 1535, 1596, 1649, 1710, 1761, 1824, 1875, 1938, 1991, 2052, 2101, 2166, 2217, 2280, 2331, 2394

Offset

2,2

Links

Table of n, a(n) for n=2..44.

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 25 2016: (Start)

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

G.f.: -x^2*(1 -56*x -114*x^2 -171*x^3 -229*x^4 -229*x^5 -229*x^6 -170*x^7 -114*x^8 -55*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: A039534 A360332 A360356 * A219807 A219458 A054891

Adjacent sequences: A063344 A063345 A063346 * A063348 A063349 A063350

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved