A096766 Difference between ceiling(e^(n/2 - 1)) (A005181) and the n-th Fibonacci number (A000045).

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 12, 27, 56, 110, 212, 397, 734, 1339, 2414, 4316, 7659, 13507, 23691, 41362, 71920, 124603, 215188, 370565, 636491, 1090709, 1865121, 3183224, 5423255, 9224601, 15666968, 26571801, 45009002, 76148146, 128687426

Offset: 0

Author

Robert G. Wilson v, Jul 08 2004

Keywords

• nonn

Links

• Vladimir Pletser, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A000045, A005181.

Programs

Maple

with (combinat): seq(round(ceil(exp((n/2)-1)))-fibonacci(n), n=0..50); # Vladimir Pletser Sep 15 2013

Mathematica

Table[ Ceiling[E^(n/2 - 1)] - Fibonacci[n], {n, 0, 41}]

Formula

A005181(n+1) - A000045(n).