id:A106181 - OEIS Search Results

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Expansion of c(-x^2)(1+2x-sqrt(1+4x^2))/2, c(x) the g.f. of A000108.

+0
2

0, 1, -1, -1, 2, 2, -5, -5, 14, 14, -42, -42, 132, 132, -429, -429, 1430, 1430, -4862, -4862, 16796, 16796, -58786, -58786, 208012, 208012, -742900, -742900, 2674440, 2674440, -9694845, -9694845, 35357670, 35357670, -129644790, -129644790, 477638700, 477638700, -1767263190, -1767263190 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Second column of number triangle A106180.`
	FORMULA	`a(n)=sin(pin/2)(C((n-1)/2)(1-(-1)^n)/2)+sin(pi(n+1)/2)(C(n/2)(1+(-1)^n)/2)-0^n`
	CROSSREFS	`Cf. A099363.` `Adjacent sequences: A106178 A106179 A106180 this_sequence A106182 A106183 A106184` `Sequence in context: A095014 A129996 A099363 this_sequence A098887 A097438 A055879`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 24 2005`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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