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A181744 Numbers n such that x(x+n)=y*y has one and only one positive integer solution (x,y). 0

%I #6 Mar 04 2016 20:44:58

%S 3,5,6,7,8,10,11,12,13,14,17,19,20,22,23,26,28,29,31,34,37,38,41,43,

%T 44,46,47,52,53,58,59,61,62,67,68,71,73,74,76,79,82,83,86,89,92,94,97,

%U 101,103,106,107,109,113,116,118,122,124,127,131,134,137,139,142,146,148

%N Numbers n such that x(x+n)=y*y has one and only one positive integer solution (x,y).

%C The sequence contains all primes and their doubles and quadruples (except 2 and 4).

%e 118 belongs to the sequence since 1682*(1682+118)=1682*1800=1740^2

%Y Cf. A115878

%K nonn

%O 1,1

%A _Carmine Suriano_, Nov 08 2010

%E Name corrected by _Robert Israel_, Mar 04 2016

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Last modified July 4 08:09 EDT 2024. Contains 373986 sequences. (Running on oeis4.)