A127642 Floor(n^n/n!) - ceiling(2^n/n).

-1, 0, 1, 6, 19, 53, 144, 384, 1010, 2652, 6960, 18271, 48007, 126292, 332679, 877561, 2318039, 6131032, 16236271, 43047375, 114256746, 303570609, 807327311, 2148933010, 5724699937, 15262109996, 40717942427, 108704057535, 290385838171, 776171229484

Offset

1,4

Comments

Theorem: n^n/n! > 2^n/n for n >= 3.

References

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.21.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Table[Floor[n^n/n!]-Ceiling[2^n/n], {n, 40}] (* Harvey P. Dale, Jan 09 2016 *)

Crossrefs

Sequence in context: A272541 A273142 A273173 * A272151 A272562 A176883

Adjacent sequences: A127639 A127640 A127641 * A127643 A127644 A127645

Keyword

sign

Author

N. J. A. Sloane, Apr 03 2007

Extensions

Corrected by N. J. A. Sloane, Jan 09 2016, after Harvey P. Dale noticed that something was wrong.

More terms from Harvey P. Dale, Jan 09 2016

Status

approved