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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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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
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refs;
listen;
history;
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internal format)
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OFFSET
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0,3
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COMMENTS
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Fixed points are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and 81.
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LINKS
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FORMULA
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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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MAPLE
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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