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A061383
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Arithmetic mean of digits is an integer.
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30
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 20, 22, 24, 26, 28, 31, 33, 35, 37, 39, 40, 42, 44, 46, 48, 51, 53, 55, 57, 59, 60, 62, 64, 66, 68, 71, 73, 75, 77, 79, 80, 82, 84, 86, 88, 91, 93, 95, 97, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129
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OFFSET
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0,3
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COMMENTS
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A004426(a(n)) = A004427(a(n)). [From Reinhard Zumkeller, May 27 2010]
A175688 is a subsequence; complement of A180157; A180160(a(n))=0. [From Reinhard Zumkeller, Aug 15 2010]
It seems 'obvious' that n log n << a(n) < n log n; is this true? - Charles R Greathouse IV, Feb 06 2013
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 0..10000
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EXAMPLE
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123 is a term as the arithmetic mean is (1+2+3)/3 = 2.
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MATHEMATICA
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Select[Range[0, 129], IntegerQ[Total[x=IntegerDigits[#]]/Length[x]] &] (* Jayanta Basu, May 17 2013 *)
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PROG
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(MAGMA) [0] cat [n: n in [1..130] | IsZero(&+Intseq(n) mod #Intseq(n))]; // Bruno Berselli, Jun 30 2011
(MAGMA) [0] cat [n: n in [1..130] | IsIntegral(&+Intseq(n)/#Intseq(n))]; // Bruno Berselli, Feb 09 2016
(PARI) is(n)=my(v=digits(n)); sum(i=1, #v, v[i])%#v==0 \\ Charles R Greathouse IV, Feb 06 2013
(Haskell)
a061383 n = a061383_list !! (n-1)
a061383_list = filter (\x -> mod (a007953 x) (a055642 x) == 0) [0..]
-- Reinhard Zumkeller, Jun 18 2013
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CROSSREFS
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Cf. A007953, A055642.
Sequence in context: A191839 A032959 A275945 * A059708 A306520 A247945
Adjacent sequences: A061380 A061381 A061382 * A061384 A061385 A061386
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KEYWORD
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nonn,easy,base
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AUTHOR
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Amarnath Murthy, May 03 2001
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STATUS
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approved
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