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A063324
Dimension of the space of weight n cuspidal newforms for Gamma_1( 51 ).
0
-1, 55, 128, 200, 272, 342, 414, 486, 556, 628, 700, 774, 842, 914, 984, 1060, 1128, 1202, 1270, 1346, 1412, 1488, 1556, 1634, 1698, 1774, 1840, 1920, 1984, 2062, 2126, 2206, 2268, 2348, 2412, 2494, 2554, 2634, 2696, 2780, 2840, 2922
OFFSET
2,2
FORMULA
g.f.: x^2*(x^9 +12*x^8 +73*x^7 +71*x^6 +87*x^5 +129*x^4 +71*x^3 +73*x^2 +56*x -1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)*(x^2 +1)). - Colin Barker, Feb 24 2015
MATHEMATICA
Drop[CoefficientList[Series[x^2(x^9+12x^8+73x^7+71x^6+87x^5+129x^4+71x^3+73x^2+56x-1)/((x-1)^2(x+1)^2(x^2-x+1)(x^2+1)), {x, 0, 60}], x], 2] (* or *) LinearRecurrence[{1, 0, -1, 2, -1, 0, 1, -1}, {-1, 55, 128, 200, 272, 342, 414, 486, 556, 628}, 60] (* Harvey P. Dale, May 12 2024 *)
CROSSREFS
Sequence in context: A080701 A208294 A039442 * A046156 A224459 A218161
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jul 14 2001
STATUS
approved