A217735 - OEIS

%I #16 Mar 25 2013 13:12:16

%S 2,1,0,8,0,0,21,4,18,65,37,0,0,70,0,32,0,9,0,0,7,26,1177,0,50,22,0,84,

%T 0,0,0,16,88,450,665,72,11,1178,0,260,0,0,0,148,0,2,0,0,98,25,0,0,0,0,

%U 0,65,112,0,0,0,0,0,189,128,10,0,0,0,0,14,0,36,0,0,0,0,0,273,0,0,162,0,0,28,0,602,0,33,0,585,65,4708,0,0,1121

%N a(n) = the least positive integer m such that n^3 + m^3 is a square, or 0, if (presumably) there is no such m.

%C All zero terms are suggestive(?). All positive terms are certain.

%H Giovanni Resta, <a href="/A217735/b217735.txt">Table of n, a(n) for n = 1..1000</a> (see comments in b-file)

%e n=1: 1^3+2^3=3^2

%e n=2: 2^3+1^3=3^2

%e n=4: 4^3+8^3=24^2

%e n=7: 7^3+21^3=98^2

%Y Cf. A103254 (values of n such that a(n) > 0).

%K nonn

%O 1,1

%A _Zak Seidov_, Mar 22 2013