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Search: id:A109662
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| A109662 |
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Numbers n such that the sum of the digits of (n^n - n!) is divisible by n. |
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+0
1
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| 1, 2, 3, 9, 14, 15, 29, 33, 45, 81, 102, 105, 126, 142, 157, 288, 414, 1184, 2133
(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 2133 is greater than 10000.
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EXAMPLE
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The digits of 414^414 - 414! sum to 4968 and 4968 is divisible by 414, so 414 is in the sequence.
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MATHEMATICA
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Do[s = n^n - n!; k = Plus @@ IntegerDigits[s]; If[Mod[k, n] == 0, Print[n]], {n, 1, 10000}]
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CROSSREFS
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Sequence in context: A123859 A048744 A057293 this_sequence A116222 A048038 A113501
Adjacent sequences: A109659 A109660 A109661 this_sequence A109663 A109664 A109665
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KEYWORD
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base,more,nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Aug 06 2005
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