A094968 - OEIS

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A094968

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

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; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`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 * A049946 A076975 A050343` `Adjacent sequences: A094965 A094966 A094967 * A094969 A094970 A094971`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 26 2004`

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.