login
Sum of squares of three numbers x, y, z such that 3*floor(sum of squares/3) = x+y+z.
0

%I #10 May 10 2014 23:43:08

%S 3,12,14,18,27,29,33,35,41,48,50,54,56,62,66,72,74,75,77,81,83,89,93,

%T 99,101,107,108,110,114,116,122,126,132,134,140,146,147,149,153,155,

%U 161,165,171,173,179,185,189,192,194,198,200

%N Sum of squares of three numbers x, y, z such that 3*floor(sum of squares/3) = x+y+z.

%C Three times the quadratic average of x,y,z in most cases is greater than their sum.

%e a(7)=33 for 33=1^2+4^2+4^2; floor(sqrt(33/3))=3; 3*3=9=1+4+4.

%Y Cf. A000408.

%K nonn

%O 1,1

%A _Carmine Suriano_, May 05 2014