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A061383
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Arithmetic mean of digits is an integer.
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35
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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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LINKS
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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 *)
Select[Range[0, 200], IntegerQ[Mean[IntegerDigits[#]]]&] (* Harvey P. Dale, Dec 31 2022 *)
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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
(Haskell)
a061383 n = a061383_list !! (n-1)
a061383_list = filter (\x -> mod (a007953 x) (a055642 x) == 0) [0..]
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CROSSREFS
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KEYWORD
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nonn,easy,base
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AUTHOR
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STATUS
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approved
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