

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

Chai Wah Wu, Table of n, a(n) for n = 2..10000


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

Cf. A036740, A121347, A122222.
Sequence in context: A000982 A289751 A200274 * A083704 A111097 A027916
Adjacent sequences: A122218 A122219 A122220 * A122222 A122223 A122224


KEYWORD

nonn


AUTHOR

Hugo Pfoertner, Sep 25 2006


EXTENSIONS

More terms from Emeric Deutsch, Oct 07 2006


STATUS

approved



