A063352 Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).

-1, 222, 481, 741, 1001, 1261, 1521, 1781, 2041, 2301, 2561, 2819, 3081, 3341, 3601, 3859, 4121, 4379, 4641, 4899, 5161, 5419, 5681, 5937, 6201, 6459, 6721, 6977, 7241, 7497, 7761, 8017, 8281, 8537, 8801, 9055, 9321, 9577, 9841, 10095

Offset

2,2

Links

Table of n, a(n) for n=2..41.

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 -222*x -481*x^2 -741*x^3 -1002*x^4 -1039*x^5 -1041*x^6 -818*x^7 -559*x^8 -299*x^9 -38*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: A345775 A361628 A101955 * A250521 A043499 A251059

Adjacent sequences: A063349 A063350 A063351 * A063353 A063354 A063355

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved