id:A051275 - OEIS Search Results

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Expansion of (1+x^2)/((1-x^2)*(1-x^3)).

+0
2

1, 0, 2, 1, 2, 2, 3, 2, 4, 3, 4, 4, 5, 4, 6, 5, 6, 6, 7, 6, 8, 7, 8, 8, 9, 8, 10, 9, 10, 10, 11, 10, 12, 11, 12, 12, 13, 12, 14, 13, 14, 14, 15, 14, 16, 15, 16, 16, 17, 16, 18, 17, 18, 18, 19, 18, 20, 19, 20, 20, 21, 20, 22, 21, 22, 22, 23, 22, 24, 23, 24, 24 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Apart from initial term(s), dimension of the space of weight 2n cuspidal newforms for Gamma_0( 12 ).` `Diagonal sums of A117567. - Paul Barry (pbarry(AT)wit.ie), Mar 29 2006`
	LINKS	`William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))` `William A. Stein, The modular forms database`
	FORMULA	`G.f.: (1+x^2)/(1-x^2-x^3+x^5); a(n)=a(n-2)+a(n-3)-a(n-5); a(n)=cos(2pin/3+pi/3)/3-sqrt(3)sin(2pi*n/3+pi/3)/9+(-1)^n/2+(2n+3)/6; a(n)=sum{k=0..floor(n/2), F(L((n-2k+2)/3)) where L(j/p) is the Legendre symbol of j and p. - Paul Barry (pbarry(AT)wit.ie), Mar 29 2006`
	CROSSREFS	`Cf. A051274.` `Adjacent sequences: A051272 A051273 A051274 this_sequence A051276 A051277 A051278` `Sequence in context: A097575 A103273 A025066 this_sequence A025799 A053267 A058768`
	KEYWORD	`nonn,easy`
	AUTHOR	`njas`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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