A182614 Least k such that floor(k/r^n)=n, where r = golden ratio = (1+sqrt(5))/2.

2, 6, 13, 28, 56, 108, 204, 376, 685, 1230, 2190, 3864, 6774, 11802, 20461, 35312, 60708, 104004, 177632, 302540, 513997, 871266, 1473818, 2488368, 4194026, 7057518, 11858509, 19898116, 33345680, 55814940, 93320820, 155867104

Offset

1,1

Links

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

Formula

Conjectures from Chai Wah Wu, Jan 12 2023: (Start)

a(n) = 2*a(n-1) + 2*a(n-2) - 4*a(n-3) - 2*a(n-4) + 2*a(n-5) + a(n-6) for n > 6.

G.f.: x*(-2*x^4 + 2*x^3 + 3*x^2 - 2*x - 2)/((x - 1)*(x + 1)*(x^2 + x - 1)^2). (End)

Crossrefs

Cf. A001622, A182613, A182615.

Sequence in context: A374148 A124677 A034465 * A288901 A288831 A337698

Adjacent sequences: A182611 A182612 A182613 * A182615 A182616 A182617

Keyword

nonn

Author

Clark Kimberling, Nov 22 2010

Status

approved