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).

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

Offset

0,3

Links

Table of n, a(n) for n=0..34.

Formula

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

Crossrefs

Cf. A090852, A090853, A090855.

Sequence in context: A038391 A073832 A265160 * A039694 A341843 A248098

Adjacent sequences: A090851 A090852 A090853 * A090855 A090856 A090857

Keyword

nonn

Author

Paul D. Hanna, Dec 10 2003

Status

approved