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A066022
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Number of digits in n^n.
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9
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1, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 15, 17, 18, 20, 21, 23, 25, 27, 28, 30, 32, 34, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 88, 90, 92, 94, 96, 98, 101, 103, 105, 107, 109, 112, 114, 116, 118, 121, 123, 125
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OFFSET
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1,3
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COMMENTS
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This is almost certainly the same as the number of decimal digits of the sum of the n-th powers of the divisors of n (a sequence submitted by Labos Elemer on Jan 14 2002). Although no formal proof for this is known, Jon E. Schoenfield has verified it for n up to 10^8 and has given a plausible heuristic argument that it is true for all n.
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LINKS
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FORMULA
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MAPLE
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MATHEMATICA
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PROG
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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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Robert A. Stump (bee_ess107(AT)yahoo.com), Dec 11 2001
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EXTENSIONS
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STATUS
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approved
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