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Search: id:A113009
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| A113009 |
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{Sum of the digits of n} raised to the power {number of digits of n}. |
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+0
1
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| 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
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Fixed points are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 81, 5832. Are there any others?
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FORMULA
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a(ijk...)[m digits ijk...]=(i+j+k)^m
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EXAMPLE
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a(9)=9^1=9
a(19)=(1+9)^2=100
a(101)=(1+0+1)^3=8
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CROSSREFS
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Cf. A101337.
Sequence in context: A138470 A112875 A113018 this_sequence A068064 A152147 A067032
Adjacent sequences: A113006 A113007 A113008 this_sequence A113010 A113011 A113012
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KEYWORD
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base,easy,nonn
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AUTHOR
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Alexandre Wajnberg (alexandre.wajnberg(AT)skynet.be), Jan 03 2006
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