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A063320 Dimension of the space of weight n cuspidal newforms for Gamma_1( 47 ). 0
-1, 70, 161, 253, 345, 437, 529, 621, 713, 805, 897, 987, 1081, 1173, 1265, 1355, 1449, 1539, 1633, 1723, 1817, 1907, 2001, 2089, 2185, 2275, 2369, 2457, 2553, 2641, 2737, 2825, 2921, 3009, 3105, 3191, 3289, 3377, 3473, 3559, 3657, 3743 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..43.

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 24 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -70*x -161*x^2 -253*x^3 -346*x^4 -367*x^5 -369*x^6 -298*x^7 -207*x^8 -115*x^9 -22*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: A043482 A044321 A044702 * A255793 A044402 A044783

Adjacent sequences:  A063317 A063318 A063319 * A063321 A063322 A063323

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified December 4 15:36 EST 2020. Contains 338928 sequences. (Running on oeis4.)