|
|
A240571
|
|
a(n) = round(n^n/n!).
|
|
1
|
|
|
1, 1, 2, 4, 11, 26, 65, 163, 416, 1068, 2756, 7148, 18614, 48639, 127463, 334865, 881658, 2325751, 6145597, 16263866, 43099804, 114356611, 303761260, 807692035, 2149632061, 5726042115, 15264691107, 40722913454, 108713644516, 290404350963, 776207020880
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
We have two versions of this sequence, this and A235496, because there is no universal agreement on how to round a number like 9/2. - N. J. A. Sloane, Dec 13 2015
According to Stirling's asymptotic formula for n!, we have lim_{n->infinity} a(n+1)/a(n) = e.
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|