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A063298 Dimension of the space of weight n cuspidal newforms for Gamma_1( 25 ). 0
-1, 12, 36, 59, 82, 105, 128, 151, 174, 197, 220, 244, 266, 289, 312, 336, 358, 382, 404, 428, 450, 474, 496, 521, 542, 566, 588, 613, 634, 659, 680, 705, 726, 751, 772, 798, 818, 843, 864, 890, 910, 936, 956, 982, 1002, 1028, 1048, 1075 (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 24 2016: (Start)

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

G.f.: -x^2*(1 -12*x -36*x^2 -59*x^3 -83*x^4 -93*x^5 -93*x^6 -80*x^7 -56*x^8 -33*x^9 -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: A039317 A298942 A322411 * A055926 A073762 A211609

Adjacent sequences:  A063295 A063296 A063297 * A063299 A063300 A063301

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified November 15 06:11 EST 2019. Contains 329144 sequences. (Running on oeis4.)