|
| |
|
|
A122221
|
|
Largest number k such that k! < (n!)^n.
|
|
2
|
|
|
|
2, 5, 8, 13, 19, 25, 32, 41, 50, 60, 72, 84, 97, 111, 126, 142, 159, 177, 196, 216, 237, 259, 282, 306, 330, 356, 383, 410, 439, 469, 499, 531, 563, 597, 631, 667, 703, 740, 779, 818, 858, 899, 942, 985, 1029, 1074, 1120, 1167, 1215, 1264, 1314, 1365, 1417
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
2,1
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
a(3)=5 because 5! = 120 is less than (3!)^3 = 216 whereas 6! = 720 > 216.
|
|
|
MAPLE
|
a:=proc(n) local b: b:=proc(k) if k!<(n!)^n then k else fi end: max(seq(b(k), k=1..2200)) end: seq(a(n), n=2..67); # Emeric Deutsch, Oct 07 2006
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
EXTENSIONS
|
|
|
|
STATUS
|
approved
|
| |
|
|
