Search: a076166 -id:a076166
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A052004
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Numbers k such that k^3 has only even digits.
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+10
5
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0, 2, 4, 20, 40, 200, 202, 400, 1822, 1824, 1902, 2000, 2002, 2020, 4000, 4352, 18220, 18240, 19020, 20000, 20002, 20020, 20200, 34372, 39154, 40000, 43520, 182200, 182400, 190200, 200000, 200002, 200020, 200200, 202000, 297092, 343720, 391540
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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Select[ Range[ 500000 ], Union[ EvenQ[ IntegerDigits[ #^3 ] ] ] == {True} & ]
Select[Range[0, 400000], AllTrue[IntegerDigits[#^3], EvenQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Oct 15 2017 *)
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CROSSREFS
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Cf. A000578, A034376, A030099, A030100, A030479, A030483, A031997, A076165, A076166, A076171, A137468.
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KEYWORD
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nonn,base,nice
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AUTHOR
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STATUS
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approved
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A076165
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Numbers n such that sum of cubes of even digits of n equals sum of cubes of odd digits of n.
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+10
3
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14467, 14476, 14647, 14674, 14746, 14764, 16447, 16474, 16744, 17446, 17464, 17644, 41467, 41476, 41647, 41674, 41746, 41764, 44167, 44176, 44617, 44671, 44716, 44761, 46147, 46174, 46417, 46471, 46714, 46741, 47146, 47164, 47416
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OFFSET
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1,1
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COMMENTS
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Minimal number of digits in n is 5.
n such that sum of even digits equals sum of odd digits in A036301.
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LINKS
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EXAMPLE
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14467 is OK because 1^3+7^3=4^3+4^3+6^3.
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MATHEMATICA
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oeQ[n_]:=Module[{idn = IntegerDigits[n]}, Total[Select[idn, OddQ]^3] == Total[Select[idn, EvenQ]^3]]; Select[Range[100000], oeQ] (* Harvey P. Dale, Sep 23 2011 *)
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PROG
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(PARI) ok(n)={my(v=digits(n)); sum(i=1, #v, v[i]^3*if(v[i]%2, 1, -1))==0} \\ Andrew Howroyd, Dec 10 2018
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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