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A094968 Index of Fibonacci numbers in Stern's diatomic series A049456. +0
1
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.


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