

A113009


{Sum of the digits of n} raised to the power {number of digits of n}.


0



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 36, 49, 64, 81, 100, 121, 144, 169, 196
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OFFSET

0,3


COMMENTS

Fixed points are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 81, 5832. Are there any others?


LINKS

Table of n, a(n) for n=0..68.


FORMULA

a(ijk...)[m digits ijk...]=(i+j+k)^m


EXAMPLE

a(9)=9^1=9
a(19)=(1+9)^2=100
a(101)=(1+0+1)^3=8


MATHEMATICA

Join[{0}, Table[Total[IntegerDigits[n]]^IntegerLength[n], {n, 100}]] (* Harvey P. Dale, Nov 09 2014 *)


CROSSREFS

Cf. A101337.
Sequence in context: A138470 A112875 A113018 * A068064 A152147 A067032
Adjacent sequences: A113006 A113007 A113008 * A113010 A113011 A113012


KEYWORD

base,easy,nonn


AUTHOR

Alexandre Wajnberg, Jan 03 2006


STATUS

approved



