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A234368 Floor(AGM(1, Fibonacci(n))), where AGM denotes the arithmetic-geometric mean. 1
1, 1, 1, 1, 2, 3, 5, 7, 10, 16, 23, 35, 53, 80, 122, 187, 286, 439, 675, 1041, 1608, 2491, 3864, 6004, 9344, 14563, 22729, 35517, 55566, 87026, 136440, 214117, 336322, 528725, 831868, 1309817, 2063861, 3254227, 5134497, 8106188, 12805344, 20239959 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..42.

FORMULA

a(n) ~ Pi * phi^n / (2 * sqrt(5) * log(phi) * n), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio, log(phi) = A002390. - Vaclav Kotesovec, May 09 2016

EXAMPLE

a(9) = floor(AGM(1, Fibonacci(9))) = floor(AGM(1, 34)) = 10.

MATHEMATICA

Table[Floor[ArithmeticGeometricMean[1, Fibonacci[n]]], {n, 1, 50}] (* Vaclav Kotesovec, May 09 2016 *)

CROSSREFS

Cf. A000040, A127758.

Sequence in context: A134792 A300795 A033068 * A052011 A278706 A005468

Adjacent sequences:  A234365 A234366 A234367 * A234369 A234370 A234371

KEYWORD

nonn

AUTHOR

Alex Ratushnyak, Dec 25 2013

STATUS

approved

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Last modified June 24 01:40 EDT 2021. Contains 345404 sequences. (Running on oeis4.)