id:A055850 - OEIS Search Results

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a(n)=3a(n-1)-a(n-2); a(0)=1, a(1)=10.

+0
3

1, 10, 29, 77, 202, 529, 1385, 3626, 9493, 24853, 65066, 170345, 445969, 1167562, 3056717, 8002589, 20951050, 54850561, 143600633, 375951338, 984253381, 2576808805, 6746173034, 17661710297, 46238957857, 121055163274 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pps. 194-196.`
	LINKS	`Index entries for sequences related to linear recurrences with constant coefficients` `Tanya Khovanova, Recursive Sequences`
	FORMULA	`a(n)={10[((3+sqrt(5))/2)^n-((3-sqrt(5))/2)^n]-[((3+sqrt(5))/2)^(n-1)-((3-sqrt(5))/2)^(n-1)]}/sqrt(5).` `G.f.(x)=(1+7x)/(1-3x+x^2).` `Lucas(2n+1) + 6Fibonacci(2n).`
	CROSSREFS	`Adjacent sequences: A055847 A055848 A055849 this_sequence A055851 A055852 A055853` `Sequence in context: A079273 A048469 A048772 this_sequence A027979 A057456 A002422`
	KEYWORD	`easy,nonn`
	AUTHOR	`Barry E. Williams, Jun 03 2000`

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Last modified July 2 13:32 EDT 2009. Contains 160561 sequences.

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