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A063314
Dimension of the space of weight n cuspidal newforms for Gamma_1( 41 ).
0
-1, 51, 120, 190, 260, 330, 400, 470, 540, 610, 680, 748, 820, 890, 960, 1028, 1100, 1168, 1240, 1308, 1380, 1448, 1520, 1586, 1660, 1728, 1800, 1866, 1940, 2006, 2080, 2146, 2220, 2286, 2360, 2424, 2500, 2566, 2640, 2704, 2780, 2844
OFFSET
2,2
FORMULA
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 -51*x -120*x^2 -190*x^3 -261*x^4 -279*x^5 -281*x^6 -229*x^7 -160*x^8 -90*x^9 -19*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: A044619 A031894 A068564 * A129298 A065010 A365834
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jul 14 2001
STATUS
approved