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A063292
Dimension of the space of weight n cuspidal newforms for Gamma_1( 19 ).
0
-1, 7, 21, 36, 51, 66, 81, 96, 111, 126, 141, 154, 171, 186, 201, 214, 231, 244, 261, 274, 291, 304, 321, 332, 351, 364, 381, 392, 411, 422, 441, 452, 471, 482, 501, 510, 531, 542, 561, 570, 591, 600, 621, 630, 651, 660, 681, 688, 711, 720
OFFSET
2,2
FORMULA
Conjectures from Colin Barker, Feb 24 2016: (Start)
a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
G.f.: -x^2*(1 -7*x -21*x^2 -36*x^3 -52*x^4 -59*x^5 -61*x^6 -53*x^7 -39*x^8 -24*x^9 -8*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: A147587 A208543 A009475 * A045524 A125228 A024837
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jul 14 2001
STATUS
approved