A063110 - OEIS

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A063110

Dimension of the space of weight 2n cusp forms for Gamma_0( 42 ).

5, 20, 36, 52, 68, 84, 100, 116, 132, 148, 164, 180, 196, 212, 228, 244, 260, 276, 292, 308, 324, 340, 356, 372, 388, 404, 420, 436, 452, 468, 484, 500, 516, 532, 548, 564, 580, 596, 612, 628, 644, 660, 676, 692, 708, 724, 740, 756, 772, 788 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Except for initial term is same as n such Mod(2*fibonacci(n)+1,7)=0 - Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 29 2004`
	LINKS	`Table of n, a(n) for n=1..50.` `William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).` `William A. Stein, The modular forms database`
	FORMULA	`Conjecture: a(n) = 16n-12 for n>1. a(n) = 2a(n-1)-a(n-2) for n>3. G.f.: x(5+10x+x^2)/(1-x)^2. [Colin Barker, Sep 23 2012]`
	CROSSREFS	`Sequence in context: A101867 A003339 A047716 * A044066 A013337 A031082` `Adjacent sequences: A063107 A063108 A063109 * A063111 A063112 A063113`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane, Jul 08 2001`
	STATUS	`approved`

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Last modified May 20 00:18 EDT 2013. Contains 225437 sequences.