A127304 a(n) = floor(n^(n + 1/2)).

0, 1, 5, 46, 512, 6987, 114283, 2178889, 47453132, 1162261467, 31622776601, 946271759726, 30886277963534, 1092031726879989, 41577322420731606, 1695955744851044543, 73786976294838206464, 3410798977520981898013

Offset

0,3

Comments

By Stirling's approximation, a(n) ~ n! e^n /sqrt(2 pi).

Links

Harvey P. Dale, Table of n, a(n) for n = 0..386

Maple

Digits := 80 : A127304 := proc(n) floor(n^(n+1/2)) ; end: seq(A127304(n), n=0..30) ; # R. J. Mathar, Nov 01 2007

Mathematica

Table[Floor[n^(n+1/2)], {n, 0, 20}] (* Harvey P. Dale, Dec 10 2016 *)

Crossrefs

Cf. A000312, A127265.

Sequence in context: A371744 A198256 A232972 * A112029 A371380 A295544

Adjacent sequences: A127301 A127302 A127303 * A127305 A127306 A127307

Keyword

nonn

Author

Leroy Quet, Mar 28 2007

Extensions

More terms from R. J. Mathar, Nov 01 2007

Status

approved