A063329 - OEIS

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A063329

Dimension of the space of weight n cuspidal newforms for Gamma_1( 56 ).

-1, 42, 94, 144, 198, 248, 302, 350, 406, 454, 510, 556, 614, 660, 718, 762, 822, 866, 926, 968, 1030, 1072, 1134, 1174, 1238, 1278, 1342, 1380, 1446, 1484, 1550, 1586, 1654, 1690, 1758, 1792, 1862, 1896, 1966, 1998, 2070, 2102, 2174 (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 2015: (Start)` `a(n) = a(n-2)+a(n-4)-a(n-6) for n>8.` `G.f.: x^2(9x^6+62x^5+105x^4+102x^3+95x^2+42x-1) / ((x-1)^2(x+1)^2*(x^2+1)).` `(End)`
	CROSSREFS	`Sequence in context: A169680 A177772 A169738 * A172465 A235109 A039470` `Adjacent sequences: A063326 A063327 A063328 * A063330 A063331 A063332`
	KEYWORD	`sign`
	AUTHOR	`N. J. A. Sloane, Jul 14 2001`
	STATUS	`approved`

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Last modified January 24 07:13 EST 2021. Contains 340398 sequences. (Running on oeis4.)