id:A117571 - OEIS Search Results

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

+0
2

1, 1, 3, 4, 4, 6, 7, 7, 9, 10, 10, 12, 13, 13, 15, 16, 16, 18, 19, 19, 21, 22, 22, 24, 25, 25, 27, 28, 28, 30, 31, 31, 33, 34, 34, 36, 37, 37, 39, 40, 40, 42, 43, 43, 45, 46, 46, 48, 49, 49, 51, 52, 52, 54, 55, 55, 57, 58, 58, 60, 61, 61, 63, 64, 64, 66, 67, 67, 69, 70, 70, 72 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Row sums of A110128 [this cross-reference is wrong - njas, Jan 01 2008].`
	FORMULA	`a(n)=a(n-1)+a(n-3)-a(n-4) a(n)=cos(2pin/3+pi/6)/sqrt(3)-sin(2pin/3+pi/6)/3+(3n+2)/3; a(n)=sum{k=0..n, 2*A001045(L((n-k+2)/3))} where L(j/p) is the Legendre symbol of j and p.`
	CROSSREFS	`Sequence in context: A014683 A088847 A120613 this_sequence A008474 A111611 A100478` `Adjacent sequences: A117568 A117569 A117570 this_sequence A117572 A117573 A117574`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 29 2006`

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.

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