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A293675 a(n) is the least integer k such that k/Fibonacci(n) > e. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A058628 A035528 A300300 * A050337 A299473 A022086

Adjacent sequences:  A293672 A293673 A293674 * A293676 A293677 A293678

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 16 2017

STATUS

approved

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Last modified October 19 22:28 EDT 2018. Contains 316378 sequences. (Running on oeis4.)