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a(n) = minimal c>0 such that (n+1)^2+4*n*c = d^2 is a square.
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%I #4 May 16 2024 15:14:41

%S 3,2,4,6,8,3,12,14,16,6,20,4,24,9,7,30,32,12,36,5,8,15,44,11,48,18,52,

%T 9,56,6,60,62,15,24,20,10,72,27,16,21,80,7,84,14,11,33,92,20,96,36,23,

%U 15,104,39,12,8,24,42,116,19,120,45,39,126,35,13,132,20,31,17,140,9,144,54

%N a(n) = minimal c>0 such that (n+1)^2+4*n*c = d^2 is a square.

%C There is a family of solutions c = 2*n - 2, d = 3*n-1, which gives maximums at graphic of function c(n).

%Y Cf. A076839, A105736 - A105745.

%K nonn

%O 1,1

%A _Zak Seidov_, Apr 19 2005