id:A092200 - OEIS Search Results

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

+0
2

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

	OFFSET	`0,2`
	COMMENT	`Partial sums of A010872(n+1)` `Essentially the same as A130481. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 13 2008`
	FORMULA	`G.f.: (1+2x)/(1-x-x^3+x^4); a(n)=4/3+n+2cos(pi*2(n-1)/3)/3; a(n)=sum{k=0..n, mod(k+1, 3) }; a(n)=(n+1)(n+2)/2-3sum{k=0..n, floor((k+1)/3)}; a(n)=1+n+sum{k=0..n, jacobi(k, 3) }.`
	CROSSREFS	`Sequence in context: A008443 A074883 A011762 this_sequence A130481 A098238 A088651` `Adjacent sequences: A092197 A092198 A092199 this_sequence A092201 A092202 A092203`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 24 2004`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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