id:A115141 - OEIS Search Results

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Convolution of A115140 with itself.

+0
3

1, -2, -1, -2, -5, -14, -42, -132, -429, -1430, -4862, -16796, -58786, -208012, -742900, -2674440, -9694845, -35357670, -129644790, -477638700, -1767263190, -6564120420, -24466267020, -91482563640, -343059613650, -1289904147324, -4861946401452, -18367353072152 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`O.g.f.: 1/c(x)^2 = (1-x) - xc(x) with the o.g.f. c(x):=(1-sqrt(1-4x))/(2*x) of A000108 (Catalan numbers).` `a(0)=1, a(1)=-2, a(n)=-C(n-1), n>=2, with C(n):=A000108(n) (Catalan). The start [1, -2] is row n=2 of signed A034807 (signed Lucas polynomials). See A115149 and A034807 for comments.`
	CROSSREFS	`Sequence in context: A049901 A117715 A107087 this_sequence A031148 A032238 A000619` `Adjacent sequences: A115138 A115139 A115140 this_sequence A115142 A115143 A115144`
	KEYWORD	`sign,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 13 2006`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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