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A110958
a(n) = floor(e^(n+1) - e^n) - Fibonacci(n).
0
1, 3, 11, 32, 90, 250, 685, 1871, 5101, 13889, 37792, 102791, 279514, 759957, 2066036, 5616483, 15267855, 41503419, 112819747, 306678713, 833643774, 2266086165, 6159872889, 16744290026, 45515730839, 123724635066, 336318509779, 914208627271, 2485076915041
OFFSET
0,2
COMMENTS
The limit of the sums of the reciprocals = 1.472907750614494204850..
FORMULA
a(n) = A248873(n) - A000045(n).
MATHEMATICA
Table[Floor[Exp[n+1]-Exp[n]]-Fibonacci[n], {n, 0, 28}] (* James C. McMahon, Apr 25 2024 *)
PROG
(PARI) e(n) = { sr=0; for(x=0, n, y=floor(exp(x+1)-exp(x))-fibonacci(x); print1(y", "); sr+=1./y); print(); print(sr) }
CROSSREFS
Sequence in context: A144335 A202091 A120844 * A141211 A353065 A321645
KEYWORD
nonn,easy
AUTHOR
Cino Hilliard, Sep 26 2005
STATUS
approved