id:A099164 - OEIS Search Results

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(L(n+2)+2*3^n)/5.

+0
2

1, 2, 5, 13, 36, 103, 301, 890, 2649, 7913, 23684, 70963, 212745, 638002, 1913629, 5740277, 17219844, 51657935, 154971221, 464909482, 1394721681, 4184154097, 12552444580, 37657305083, 112971868881, 338915531618, 1016746473461 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A099163.`
	FORMULA	`G.f.: (1-2x-x^2)/((1-3x)(1-x-x^2)); a(n)=4a(n-1)-2a(n-2)-3a(n-3); a(n)=((1+sqrt(5))/2)^n(3/10+sqrt(5)/10)+((1-sqrt(5))/2)^n(3/10-sqrt(5)/10)+2*3^n/5; a(n)=sum{k=0..n, 3^k(0^(n-k)-Fib(n-k))}.`
	CROSSREFS	`Cf. A000032, A000045.` `Sequence in context: A022854 A116409 A002844 this_sequence A036765 A136751 A087626` `Adjacent sequences: A099161 A099162 A099163 this_sequence A099165 A099166 A099167`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 01 2004`

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

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