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A090854 a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to Fibonacci(n). +0
5
1, 1, 4, 7, 13, 24, 43, 77, 137, 241, 421, 732, 1266, 2178, 3733, 6376, 10858, 18439, 31237, 52804, 89082, 150014, 252206, 423367, 709697, 1188136, 1986730, 3318386, 5536857, 9229483, 15370775, 25576584, 42524547, 70649205, 117290710 (list; graph; listen)
OFFSET

0,3

FORMULA

floor( agm(a(n), 1) ) = Fibonacci(n), for n>=0.

CROSSREFS

Cf. A090852, A090853, A090855.

Sequence in context: A111314 A139217 A038391 this_sequence A039694 A000288 A074863

Adjacent sequences: A090851 A090852 A090853 this_sequence A090855 A090856 A090857

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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