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A063372
Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).
0
-1, 240, 521, 800, 1079, 1362, 1641, 1920, 2203, 2482, 2761, 3042, 3323, 3602, 3885, 4162, 4443, 4724, 5005, 5282, 5567, 5844, 6125, 6404, 6687, 6964, 7249, 7524, 7807, 8086, 8369, 8644, 8931, 9206, 9489, 9766, 10051, 10326, 10613
OFFSET
2,2
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 -240*x -521*x^2 -800*x^3 -1080*x^4 -1122*x^5 -1121*x^6 -880*x^7 -603*x^8 -320*x^9 -40*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
(End)
CROSSREFS
Sequence in context: A179440 A154378 A300145 * A070123 A119659 A263161
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jul 14 2001
STATUS
approved