login
A063345
Dimension of the space of weight n cuspidal newforms for Gamma_1( 72 ).
0
-1, 55, 119, 184, 247, 312, 375, 441, 503, 569, 631, 698, 759, 826, 887, 955, 1015, 1083, 1143, 1212, 1271, 1340, 1399, 1469, 1527, 1597, 1655, 1726, 1783, 1854, 1911, 1983, 2039, 2111, 2167, 2240, 2295, 2368, 2423, 2497, 2551, 2625, 2679
OFFSET
2,2
FORMULA
From Colin Barker, Feb 24 2015: (Start)
a(n) = a(n-2)+a(n-4)-a(n-6) for n>8.
G.f.: x^2*(8*x^6+73*x^5+129*x^4+129*x^3+120*x^2+55*x-1) / ((x-1)^2*(x+1)^2*(x^2+1)).
(End)
CROSSREFS
Sequence in context: A154031 A044242 A044623 * A080701 A208294 A039442
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jul 14 2001
STATUS
approved