A063370 Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).

-1, 345, 736, 1128, 1520, 1912, 2304, 2696, 3088, 3480, 3872, 4262, 4656, 5048, 5440, 5830, 6224, 6614, 7008, 7398, 7792, 8182, 8576, 8964, 9360, 9750, 10144, 10532, 10928, 11316, 11712, 12100, 12496, 12884, 13280, 13666, 14064, 14452

Offset

2,2

Links

Table of n, a(n) for n=2..39.

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 -345*x -736*x^2 -1128*x^3 -1521*x^4 -1567*x^5 -1569*x^6 -1223*x^7 -832*x^8 -440*x^9 -47*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: A251811 A268145 A116347 * A095963 A247079 A333079

Adjacent sequences: A063367 A063368 A063369 * A063371 A063372 A063373

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved