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A293674
a(n) is the greatest integer k such that k/Fibonacci(n) < e.
3
0, 2, 2, 5, 8, 13, 21, 35, 57, 92, 149, 241, 391, 633, 1024, 1658, 2682, 4341, 7024, 11365, 18389, 29754, 48143, 77897, 126041, 203939, 329980, 533919, 863899, 1397819, 2261719, 3659538, 5921257, 9580796, 15502054, 25082850, 40584904, 65667754, 106252659
OFFSET
0,2
LINKS
FORMULA
a(n) = floor(e*Fibonacci(n)).
a(n) = A293675(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 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Oct 16 2017
STATUS
approved