id:A083880 - OEIS Search Results

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a(0)=0, a(1)=5, a(n)=10a(n-1)-23a(n-2), n>=2.

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1, 5, 27, 155, 929, 5725, 35883, 227155, 1446241, 9237845, 59114907, 378678635, 2427143489, 15561826285, 99793962603, 640017621475, 4104915074881, 26328745454885, 168874407826587, 1083182932803515, 6947717948023649 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A083879.`
	FORMULA	`G.f.: (1-5x)/(1-10x+23x^2). E.g.f.: exp(5x)cosh(x*sqrt(2)). a(n)=((5-sqrt(2))^n+(5+sqrt(2))^n)/2; a(n)=Sum{k=0..n; C(n, 2k)5^(n-2k)2^k }.`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, polsym(23-10*x+x^2, n)[n+1]/2)`
	CROSSREFS	`Cf. A083878, A006012.` `Sequence in context: A100193 A134425 A083326 this_sequence A098409 A052227 A101386` `Adjacent sequences: A083877 A083878 A083879 this_sequence A083881 A083882 A083883`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 08 2003`

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

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