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A182615 Greatest k such that floor(k/r^n)=n, where r = golden mean = (1+sqrt(5))/2. 2
3, 7, 16, 34, 66, 125, 232, 422, 760, 1352, 2388, 4185, 7294, 12644, 21824, 37518, 64278, 109781, 186980, 317666, 538472, 910868, 153788, 2592049, 4361786, 7328960, 12297712, 20608762, 34495530, 57675437, 96331168, 160737950 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..32.

FORMULA

For n>=3, A182615(n)=-1+A182614(n)+A000031(n), where A000031 is the sequence of Lucas numbers.

EXAMPLE

The integers k satisfying floor(k/r^3)=3 are 13,14,15,16, so that a(3)=16.

CROSSREFS

Cf. A182614, A000031.

Sequence in context: A217942 A002936 A014668 * A181893 A054455 A178455

Adjacent sequences:  A182612 A182613 A182614 * A182616 A182617 A182618

KEYWORD

nonn

AUTHOR

Clark Kimberling, Nov 22 2010

STATUS

approved

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Last modified October 14 03:58 EDT 2019. Contains 327995 sequences. (Running on oeis4.)