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A293676
a(n) is the integer k that minimizes |e - k/Fibonacci(n)|.
3
0, 3, 3, 5, 8, 14, 22, 35, 57, 92, 150, 242, 391, 633, 1025, 1658, 2683, 4341, 7024, 11365, 18389, 29754, 48143, 77898, 126041, 203939, 329980, 533919, 863900, 1397819, 2261719, 3659539, 5921258, 9580796, 15502054, 25082850, 40584905, 65667755, 106252660
OFFSET
0,2
LINKS
FORMULA
a(n) = floor(1/2 + e*Fibonacci(n)).
a(n) = A293674(n) if (fractional part of e*Fibonacci(n)) < 1/2, otherwise a(n) = A293675(n).
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