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%I #13 May 24 2023 18:28:38
%S 0,1,297,1295,1296,1405,1592,1701,1702,1997,1998,1999
%N 3-white numbers: partition digits of n^3 into blocks of 3 starting at right; then sum of these 3-digit numbers equals n.
%C The 1-white numbers are 0 1 2 3 4 5 6 7 8 9; the 2-white numbers are 0 1 45 55 99.
%e 297^3 = 26198073 => 26,198,073 and 26 + 198 + 073 = 297; 1999^3=7988006997 and 7+988+006+997=1999.
%t twnQ[n_]:=Module[{c=IntegerDigits[n^3],a},a=Take[c,Mod[Length[c],3]]; Total[ FromDigits/@ Partition[Drop[c,Length[a]],3]]+FromDigits[a]==n]; Select[ Range[ 0,2000],twnQ] (* _Harvey P. Dale_, Feb 08 2013 *)
%t Select[Range[0, 10^5], # == Plus @@ IntegerDigits[#^3, 10^3] &] (* _Giovanni Resta_, Jul 12 2016 *)
%t Select[Range[0,2000],Total[FromDigits/@(Reverse/@Partition[Reverse[ IntegerDigits[ #^3]],UpTo[3]])] == #&] (* _Harvey P. Dale_, May 24 2023 *)
%Y Cf. A037044, A037045.
%K full,nonn,easy,base,fini,nice
%O 1,3
%A _Erich Friedman_
%E Offset set to 1 by _Paolo P. Lava_, Jul 12 2016
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