|
| |
|
|
A005394
|
|
Leading term of Stirling's approximation to n!, sqrt(2*Pi)*n^(n+(1/2))/e^n, rounded to nearest integer.
|
|
3
|
|
|
|
0, 1, 2, 6, 24, 118, 710, 4980, 39902, 359537, 3598696, 39615625, 475687486, 6187239475, 86661001741, 1300430722199, 20814114415223, 353948328666101, 6372804626194309, 121112786592293963, 2422786846761133394
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
G. C. Greubel, Table of n, a(n) for n = 0..449
|
|
|
MATHEMATICA
|
Table[Round[Sqrt[2*Pi]*Exp[-n]*n^(n + 1/2)], {n, 0, 100}] (* G. C. Greubel, Aug 16 2018 *)
|
|
|
PROG
|
(MAGMA) R:= RealField(); [Round(Sqrt(2*Pi)*Exp(-n)*n^(n + 1/2)): n in [0..100]]; // G. C. Greubel, Aug 16 2018
|
|
|
CROSSREFS
|
Cf. A000142, A090583.
Sequence in context: A328442 A135106 A248837 * A095818 A264781 A224316
Adjacent sequences: A005391 A005392 A005393 * A005395 A005396 A005397
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane
|
|
|
EXTENSIONS
|
Corrected and extended by Hugo Pfoertner, Jan 10 2004
|
|
|
STATUS
|
approved
|
| |
|
|
