A076165 Numbers n such that sum of cubes of even digits of n equals sum of cubes of odd digits of n.

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

Offset

1,1

Comments

Minimal number of digits in n is 5.

n such that sum of even digits equals sum of odd digits in A036301.

Links

Marius A. Burtea, Table of n, a(n) for n = 1..5880

Example

14467 is OK because 1^3+7^3=4^3+4^3+6^3.

Mathematica

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 *)

Prog

(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

Crossrefs

Cf. A036301, A076166.

Sequence in context: A238060 A210050 A203815 * A376415 A234119 A253116

Adjacent sequences: A076162 A076163 A076164 * A076166 A076167 A076168

Keyword

nonn,base

Author

Zak Seidov, Nov 01 2002

Status

approved