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A063310 Dimension of the space of weight n cuspidal newforms for Gamma_1( 37 ). 0
-1, 40, 96, 153, 210, 267, 324, 381, 438, 495, 552, 607, 666, 723, 780, 835, 894, 949, 1008, 1063, 1122, 1177, 1236, 1289, 1350, 1405, 1464, 1517, 1578, 1631, 1692, 1745, 1806, 1859, 1920, 1971, 2034, 2087, 2148, 2199, 2262, 2313, 2376 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..44.

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 -40*x -96*x^2 -153*x^3 -211*x^4 -227*x^5 -229*x^6 -188*x^7 -132*x^8 -75*x^9 -17*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: A023695 A038466 A279689 * A211493 A185791 A092889

Adjacent sequences: A063307 A063308 A063309 * A063311 A063312 A063313

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified January 30 19:55 EST 2023. Contains 359947 sequences. (Running on oeis4.)