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A063323 Dimension of the space of weight n cuspidal newforms for Gamma_1( 50 ). 0
-1, 24, 46, 69, 92, 115, 138, 162, 184, 208, 230, 253, 276, 301, 322, 346, 368, 392, 414, 439, 460, 485, 506, 530, 552, 578, 598, 623, 644, 669, 690, 716, 736, 762, 782, 807, 828, 855, 874, 900, 920, 946, 966, 993, 1012, 1039, 1058, 1084 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..49.

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 -24*x -46*x^2 -69*x^3 -93*x^4 -91*x^5 -93*x^6 -69*x^7 -46*x^8 -24*x^9 +x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

CROSSREFS

Sequence in context: A324457 A217080 A226327 * A154590 A028992 A220515

Adjacent sequences:  A063320 A063321 A063322 * A063324 A063325 A063326

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified September 18 12:13 EDT 2021. Contains 347527 sequences. (Running on oeis4.)