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A051004
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Numbers divisible both by their individual digits and by the sum of their digits.
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4
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1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 24, 36, 48, 111, 112, 126, 132, 135, 144, 162, 216, 222, 224, 264, 288, 312, 315, 324, 333, 336, 396, 432, 444, 448, 555, 612, 624, 648, 666, 735, 777, 864, 888, 936, 999, 1116, 1122, 1128, 1164, 1212, 1224, 1236, 1296, 1332
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OFFSET
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1,2
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COMMENTS
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No zero digits permitted. [Harvey P. Dale, Dec 18 2011]
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Digit
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MATHEMATICA
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ddQ[n_]:=Module[{idn=IntegerDigits[n]}, !MemberQ[idn, 0] && Divisible[ n, Total[idn]]&&And@@Divisible[n, idn]]; Select[Range[1400], ddQ] (* Harvey P. Dale, Dec 18 2011 *)
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PROG
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(Haskell)
a051004 n = a051004_list !! (n-1)
a051004_list = [x | x <- a005349_list,
x == head (dropWhile (< x) a034838_list)]
-- Reinhard Zumkeller, Mar 03 2012
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CROSSREFS
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Intersection of A005349 and A034838.
Cf. A038369, A087142.
Sequence in context: A227224 A236750 A001102 * A032575 A038186 A118575
Adjacent sequences: A051001 A051002 A051003 * A051005 A051006 A051007
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KEYWORD
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nonn,nice,base
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AUTHOR
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Eric W. Weisstein
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EXTENSIONS
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Offset corrected by Reinhard Zumkeller, Mar 03 2012
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STATUS
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approved
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