The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A076164 Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n. 1
 0, 11112, 11121, 11211, 11356, 11365, 11536, 11563, 11635, 11653, 12111, 13156, 13165, 13516, 13561, 13615, 13651, 15136, 15163, 15316, 15361, 15613, 15631, 16135, 16153, 16315, 16351, 16513, 16531, 21111, 31156, 31165, 31516, 31561 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The minimal number of digits in any nonzero term is 5. Numbers such that the sum of even digits equals the sum of odd digits are listed in A036301. LINKS Table of n, a(n) for n=1..34. EXAMPLE 11356 is in the sequence because 1^2 + 1^2 + 3^2 + 5^2 = 6^2. MATHEMATICA oeQ[n_]:=Module[{idn=IntegerDigits[n]}, Total[Select[idn, OddQ]^2]== Total[ Select[ idn, EvenQ]^2]]; Select[Range[0, 99999], oeQ] (* Harvey P. Dale, Sep 23 2011 *) PROG (PARI) is(n)=!vecsum(apply(d->d^2*(-1)^d, digits(n))) \\ M. F. Hasler, May 18 2018 CROSSREFS Cf. A303269, A036301 (analog without squares), A071650, A304439, A304440, A124176, A124177. Sequence in context: A262497 A291946 A154807 * A234661 A261778 A268278 Adjacent sequences: A076161 A076162 A076163 * A076165 A076166 A076167 KEYWORD nonn,base AUTHOR Zak Seidov, Nov 01 2002 EXTENSIONS Edited and a(1) = 0 added by M. F. Hasler, May 18 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 24 23:50 EDT 2024. Contains 372782 sequences. (Running on oeis4.)