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A064158 Integers n such that (x1*x2*..xk)^(x1+x2+..xk) = (x1+x2+..xk)^(x1*x2*...xk) where x1x2..xk are the digits of n in base 10. +0
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1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 112, 121, 123, 132, 211, 213, 231, 312, 321, 1124, 1142, 1214, 1241, 1412, 1421, 2114, 2141, 2411, 4112, 4121, 4211, 11125, 11133, 11152, 11215, 11222, 11251, 11313, 11331, 11512, 11521, 12115, 12122, 12151, 12212 (list; graph; listen)
OFFSET

1,2

EXAMPLE

22 belongs to the sequence because (2*2)^(2+2)=(2+2)^(2*2)

CROSSREFS

Sequence in context: A045910 A128290 A110002 this_sequence A064702 A034710 A061672

Adjacent sequences: A064155 A064156 A064157 this_sequence A064159 A064160 A064161

KEYWORD

easy,nonn,base

AUTHOR

Felice Russo (felice.russo(AT)katamail.com), Sep 14 2001

EXTENSIONS

More terms from Jason Earls (zevi_35711(AT)yahoo.com), Dec 04 2001

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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