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Search: id:A118470
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| A118470 |
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Numbers n for which s(n)+s(n^2)+s(n^3) = s(n^4). |
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+0
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| 0, 162, 171, 351, 468, 558, 1620, 1710, 2106, 3321, 3510, 4023, 4680, 5121, 5247, 5544, 5580, 5868, 8001, 10008, 10071, 10224, 10305, 10503, 10818, 11025, 11241, 11511, 12321, 12654, 12888, 13239, 14004, 14301, 15471, 15876, 16011, 16200
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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s(n) stands for the sum of the digits of n.
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EXAMPLE
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a(2)=162 because s(162)=9, s(162^2)=18, s(162^3)=27, s(162^4)=54 and 9+18+27=54
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MATHEMATICA
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Select[Range[0, 20000], Sum[i*(DigitCount[ # ][[i]] + DigitCount[ #^2][[i]] + DigitCount[ #^3][[i]]), {i, 1, 9}] == Sum[i*DigitCount[ #^4][[i]], {i, 1, 9}] &] -Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 04 2006
s[n_] := Plus @@ IntegerDigits@n; Select[ Range[0, 16217], s@# + s[ #^2] + s[ #^3] == s[ #^4] &] - Robert G. Wilson v (rgwv(at)rgwv.com), May 04 2006
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CROSSREFS
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Sequence in context: A060641 A135699 A092312 this_sequence A081724 A025374 A025365
Adjacent sequences: A118467 A118468 A118469 this_sequence A118471 A118472 A118473
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KEYWORD
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nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), May 04 2006
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 11 2006
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