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A063347 Dimension of the space of weight n cuspidal newforms for Gamma_1( 74 ). 0
-1, 56, 114, 171, 228, 285, 342, 397, 456, 511, 570, 627, 684, 737, 798, 853, 912, 967, 1026, 1079, 1140, 1193, 1254, 1309, 1368, 1419, 1482, 1535, 1596, 1649, 1710, 1761, 1824, 1875, 1938, 1991, 2052, 2101, 2166, 2217, 2280, 2331, 2394 (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 25 2016: (Start)

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

G.f.: -x^2*(1 -56*x -114*x^2 -171*x^3 -229*x^4 -229*x^5 -229*x^6 -170*x^7 -114*x^8 -55*x^9 +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: A101294 A280932 A039534 * A219807 A219458 A054891

Adjacent sequences:  A063344 A063345 A063346 * A063348 A063349 A063350

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Jul 14 2001

STATUS

approved

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Last modified January 28 20:45 EST 2022. Contains 350662 sequences. (Running on oeis4.)