id:A097063 - OEIS Search Results

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

+0
2

1, 0, 3, 4, 9, 12, 19, 24, 33, 40, 51, 60, 73, 84, 99, 112, 129, 144, 163, 180, 201, 220, 243, 264, 289, 312, 339, 364, 393, 420, 451, 480, 513, 544, 579, 612, 649, 684, 723, 760, 801, 840, 883, 924, 969, 1012, 1059, 1104, 1153, 1200, 1251, 1300, 1353, 1404 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Partial sums of A097062. Pairwise sums are A002061. Binomial transform is essentially A007466.`
	FORMULA	`G.f. : (1-2x+3x^2)/((1-x^2)(1-x)^2); a(n)=2a(n-1)-2a(n-3)+a(n-4); a(n)=sum{k=0..n, (k^2-k+1)(-1)^(n-k) }.` `a(n)=1/4+(3/4)(-1)^n+(1/2)n^2, n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008`
	CROSSREFS	`Adjacent sequences: A097060 A097061 A097062 this_sequence A097064 A097065 A097066` `Sequence in context: A112169 A105137 A025613 this_sequence A026476 A002513 A034418`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 22 2004`

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.

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