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Search: id:A109663
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| A109663 |
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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, 15, 18, 27, 36, 51, 81, 93, 169, 181, 348, 444, 504, 528, 1881, 2031, 9843
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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The digits of 1881^1881 + 1881! sum to 28215 and 28215 is divisible by 1881, so 1881 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: A083303 A078610 A108825 this_sequence A056702 A091361 A092352
Adjacent sequences: A109660 A109661 A109662 this_sequence A109664 A109665 A109666
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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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