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A122221
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Largest number k such that k!<(n!)^n.
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1
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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; internal format)
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OFFSET
| 2,1
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EXAMPLE
| a(3)=5 because 5!=120 is less than (3!)^3=216 whereas 6!=720>216.
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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 (deutsch(AT)duke.poly.edu), Oct 07 2006
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CROSSREFS
| Cf. A036740, A121347, A122222.
Sequence in context: A054074 A000982 A200274 * A083704 A111097 A027916
Adjacent sequences: A122218 A122219 A122220 * A122222 A122223 A122224
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KEYWORD
| nonn
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 25 2006
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 07 2006
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