A293675 a(n) is the least integer k such that k/Fibonacci(n) > e.

0, 3, 3, 6, 9, 14, 22, 36, 58, 93, 150, 242, 392, 634, 1025, 1659, 2683, 4342, 7025, 11366, 18390, 29755, 48144, 77898, 126042, 203940, 329981, 533920, 863900, 1397820, 2261720, 3659539, 5921258, 9580797, 15502055, 25082851, 40584905, 65667755, 106252660

Offset

0,2

Links

Clark Kimberling, Table of n, a(n) for n = 0..1000

Formula

a(n) = ceiling(e*Fibonacci(n)).

a(n) = A293674(n) + 1 for n > 0.

Mathematica

z = 120; f[n_] := Fibonacci[n];
Table[Floor[E*f[n]], {n, 0, z}];   (* A293674 *)
Table[Ceiling[E*f[n]], {n, 0, z}]; (* A293675 *)
Table[Round[E*f[n]], {n, 0, z}];   (* A293676 *)

Prog

(PARI) a(n) = ceil(exp(1)*fibonacci(n)); \\ Michel Marcus, Feb 16 2018

Crossrefs

Cf. A000045, A001113, A293674, A293676.

Sequence in context: A035528 A341241 A300300 * A050337 A299473 A355906

Adjacent sequences: A293672 A293673 A293674 * A293676 A293677 A293678

Keyword

nonn,easy

Author

Clark Kimberling, Oct 16 2017

Status

approved