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A063373
Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).
0
-1, 141, 302, 463, 625, 786, 948, 1107, 1271, 1430, 1594, 1752, 1917, 2074, 2240, 2396, 2563, 2719, 2886, 3040, 3209, 3363, 3532, 3685, 3855, 4007, 4178, 4329, 4501, 4652, 4824, 4973, 5147, 5296, 5470, 5618, 5793, 5940, 6116, 6262, 6439
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 -141*x -302*x^2 -463*x^3 -626*x^4 -645*x^5 -647*x^6 -503*x^7 -344*x^8 -181*x^9 -20*x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
(End)
CROSSREFS
Sequence in context: A045936 A228598 A031892 * A145192 A228597 A255154
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jul 14 2001
STATUS
approved