id:A089927 - OEIS Search Results

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Expansion of 1/((1-x^2)(1-5x+x^2)).

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1, 5, 25, 120, 576, 2760, 13225, 63365, 303601, 1454640, 6969600, 33393360, 159997201, 766592645, 3672966025, 17598237480, 84318221376, 403992869400, 1935646125625, 9274237758725, 44435542668001, 212903475581280 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`Index entries for sequences related to Chebyshev polynomials.`
	FORMULA	`a(n)=5a(n-1)-5a(n-3)+a(n-4); a(n)=((5-sqrt(21))^n((23-5sqrt(21))/21+(5+sqrt(21))^n((23+5sqrt(21))/21)2^(-1-n)+(-1)^n/14; a(n)=sum{k=0..floor(n/2), U(n-2k, 5/2)}`
	CROSSREFS	`Cf. A003690, A003769.` `Sequence in context: A055297 A034274 A110212 this_sequence A068539 A123871 A078717` `Adjacent sequences: A089924 A089925 A089926 this_sequence A089928 A089929 A089930`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Nov 15 2003`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

AT&T Labs Research