A127426 a(n) = n! - ceiling(n^(n/2)).

0, 0, 0, 0, 8, 64, 504, 4132, 36224, 343197, 3528800, 39382654, 476015616, 6209617492, 87072877696, 1307012632486, 20918494920704, 355658666311252, 6402175346437632, 121643693845767057, 2432891768176640000, 51090865734892274539, 1124000143459306268672

Offset

0,5

Comments

Theorem: n! > n^(n/2) for n >= 2 [Cauchy].

References

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.14.

Links

Table of n, a(n) for n=0..22.

Mathematica

Join[{0}, Table[n!-Ceiling[n^(n/2)], {n, 30}]] (* Harvey P. Dale, Jul 14 2018 *)

Crossrefs

Sequence in context: A269408 A269605 A269466 * A268456 A126629 A250350

Adjacent sequences: A127423 A127424 A127425 * A127427 A127428 A127429

Keyword

nonn

Author

N. J. A. Sloane, Apr 02 2007

Status

approved