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Search: id:A113018
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| A113018 |
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{Digital root of n} raised to the power {number of digits of n}. |
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+0
2
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 4, 9, 16, 25, 36, 49, 64, 81, 1, 4, 9, 16, 25, 36, 49, 64, 81, 1, 4, 9, 16, 25, 36, 49, 64, 81, 1, 4, 9, 16, 25, 36, 49, 64, 81, 1, 4, 9, 16, 25, 36, 49, 64, 81, 1, 4, 9, 16, 25, 36, 49, 64, 81, 1, 4, 9, 16, 25, 36, 49, 64, 81, 1, 4, 9, 16, 25, 36, 49, 64
(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 and 81.
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FORMULA
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a(ijk...)[m digits ijk...]=(i+j+k+...)[1 digit]^m
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EXAMPLE
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a(9)=9^1=9
a(19)=(1+9=10 => 1+0) = 1^2=1
a(85)=(8+5=13 => 1+3) = 4^2=16
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CROSSREFS
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Cf. A101337.
Sequence in context: A061486 A138470 A112875 this_sequence A113009 A068064 A152147
Adjacent sequences: A113015 A113016 A113017 this_sequence A113019 A113020 A113021
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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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