The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A074187

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A074187

Largest power (>=2) <= n!.
(history; published version)

#4 by N. J. A. Sloane at Thu Dec 05 19:55:34 EST 2013

AUTHOR

_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Aug 31 2002

Discussion

Thu Dec 05

19:55

OEIS Server: https://oeis.org/edit/global/2075

#3 by Russ Cox at Sat Mar 31 10:29:01 EDT 2012

EXTENSIONS

More terms from _Hugo Pfoertner (hugo(AT)pfoertner.org), _, Jul 20 2004

Discussion

Sat Mar 31

10:29

OEIS Server: https://oeis.org/edit/global/581

#2 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

NAME

Largest power (>=2) < = n!.

DATA

1, 1, 4, 16, 100, 676, 4913, 40000, 362404, 3625216, 39904489, 478996996, 6226945921, 87177877081, 1307672296225, 20922784184449, 355687416544329, 6402373660047556, 121645099966283776, 2432902006216007824

CROSSREFS

Cf. A055226. It seems that a(n)=A055226(n)^2 for n>7.

KEYWORD

more,nonn,new

nonn

EXTENSIONS

More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Jul 20 2004

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Largest power (>=2) < n!.

DATA

1, 1, 4, 16, 100, 676, 4913

OFFSET

1,3

EXAMPLE

a(7) = 4913 = 17^3 < 5040=7! There is no perfect power between 4913 and 5040.

CROSSREFS

Cf. A074188.

KEYWORD

more,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 31 2002

STATUS

approved