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A123291 Numbers that are sum of a square and a nonnegative cube (with repetition). 2

%I #3 Mar 30 2012 17:26:22

%S 0,1,1,2,4,5,8,9,9,10,12,16,17,17,24,25,26,27,28,31,33,36,36,37,43,44,

%T 49,50,52,57,63,64,64,65,65,68,72,73,76,80,81,82,89,89,91,100,100,101,

%U 108,108,113,121,122,125,126,127,128,129,129,134,141,144,145,145,148

%N Numbers that are sum of a square and a nonnegative cube (with repetition).

%C Cf. A022549 Sum of a square and a nonnegative cube (without repetition), A022550 Numbers that are not the sum of a square and a nonnegative cube.

%e Each of 1, 9, 17, 36 appear two times because

%e 1=0^2+1^3=1^2+0^3, 9=1^2+2^3=3^2+0^3, 17=3^2+2^3==4^2+1^3, 36=3^2+3^3==6^2+0^3;

%e 225 appears three times because 225=3^2+6^3=10^2+5^3=15^2+0^3;

%e 1025 appears four times because 1025=5^2+10^3=30^2+5^3=31^2+4^3=32^2+1^3, etc.

%Y Cf. A022549, A022550.

%K nonn

%O 1,4

%A _Zak Seidov_, Oct 11 2006

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