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A063356 Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ). 0
-1, 247, 533, 820, 1107, 1394, 1681, 1968, 2255, 2542, 2829, 3114, 3403, 3690, 3977, 4262, 4551, 4836, 5125, 5410, 5699, 5984, 6273, 6556, 6847, 7132, 7421, 7704, 7995, 8278, 8569, 8852, 9143, 9426, 9717, 9998, 10291, 10574, 10865 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..40.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

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 -247*x -533*x^2 -820*x^3 -1108*x^4 -1147*x^5 -1149*x^6 -901*x^7 -615*x^8 -328*x^9 -40*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: A020313 A318055 A261378 * A250608 A127349 A051153

Adjacent sequences:  A063353 A063354 A063355 * A063357 A063358 A063359

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified May 13 08:08 EDT 2021. Contains 343836 sequences. (Running on oeis4.)