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Search: id:A109656
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| A109656 |
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Numbers n such that the sum of the digits of sum_{k=1..n}(k^k) is divisible by n. |
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+0
1
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| 1, 13, 15, 22, 25, 107, 115, 149, 163, 472, 808, 1347, 1979, 27594, 77150
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Next term after 1979, if it exists, is greater than 10000.
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EXAMPLE
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sum_{k=1..13}(k^k) = 312086923782437; the digits of 312086923782437 sum to 65, which is divisible by 13, so 13 is in the sequence.
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MATHEMATICA
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s = 0; Do[s += n^n; k = Plus @@ IntegerDigits[s]; If[Mod[k, n] == 0, Print[n]], {n, 1, 10^5}]
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CROSSREFS
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Sequence in context: A126727 A067912 A140646 this_sequence A087814 A113801 A108257
Adjacent sequences: A109653 A109654 A109655 this_sequence A109657 A109658 A109659
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KEYWORD
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nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Aug 06 2005
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EXTENSIONS
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More terms from Ryan Propper (rpropper(AT)stanford.edu), Nov 13 2005
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