id:A094968 - OEIS Search Results

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Index of Fibonacci numbers in Stern's diatomic series A049456.

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1, 4, 7, 14, 25, 48, 91, 178, 349, 692, 1375, 2742, 5473, 10936, 21859, 43706, 87397, 174780, 349543, 699070, 1398121, 2796224, 5592427, 11184834, 22369645, 44739268, 89478511, 178956998, 357913969, 715827912, 1431655795, 2863311562 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`A049456(A094968(n))=Fib(n+2). The rank of Fib(n+2) in A049456 is A001045(n)+1.`
	REFERENCES	`D.H. Lehmer, On Stern's Diatomic Series, Amer. Math. Monthly 36(1) 1929, pp. 56-67`
	FORMULA	`G.f. : (1+x-4x^2)/((1-x)(1-x^2)(1-2x)); a(n)=2^n+n+Jacobsthal(n); a(n)=A006127(n)+A001045(n).`
	CROSSREFS	`Sequence in context: A003404 A139025 A128610 this_sequence A049946 A076975 A050343` `Adjacent sequences: A094965 A094966 A094967 this_sequence A094969 A094970 A094971`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 26 2004`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research