id:A099570 - OEIS Search Results

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

+0
2

1, 0, 0, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, -11, 12, -13, 14, -15, 16, -17, 18, -19, 20, -21, 22, -23, 24, -25, 26, -27, 28, -29, 30, -31, 32, -33, 34, -35, 36, -37, 38, -39, 40, -41, 42, -43, 44, -45, 46, -47, 48, -49, 50, -51, 52, -53, 54, -55, 56, -57, 58, -59, 60, -61, 62, -63, 64, -65, 66, -67, 68, -69, 70, -71, 72, -73 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Row sums of number triangle A099569.`
	FORMULA	`a(n)=20^n-sum{k=0..n, kbinomial(n, k)(-1)^(n-k)}+(n-2)*(-1)^n; a(n)=-2a(n-1)-a(n-2), n>3, a(0)=1, a(1)=0, a(2)=0, a(3)=-1.`
	CROSSREFS	`Sequence in context: A001478 A001489 A023443 this_sequence A020725 A000027 A001477` `Adjacent sequences: A099567 A099568 A099569 this_sequence A099571 A099572 A099573`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 22 2004`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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