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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
OFFSET
0,2
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Oct 16 2017
STATUS
approved