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A064457 a(1) = 3; for n > 1, choose a(n) to be the smallest number such that a(n) > a(n-1) and (a(n)*a(n-1)+1) mod (a(n)+a(n-1)+1) = 0. 0

%I

%S 3,7,47,157,293,1807,8697,9447,15147,31497,74847,159111,1031187,

%T 1100457,1740087,3589707,8498937,10312173,15086925,51874335,54072205,

%U 746239895,1433920655

%N a(1) = 3; for n > 1, choose a(n) to be the smallest number such that a(n) > a(n-1) and (a(n)*a(n-1)+1) mod (a(n)+a(n-1)+1) = 0.

%C Starting with a(1) = 0, 1 or 2 there are no solutions.

%e a(3) = 47 because 7*47 + 1 = 330 and 7+47+1 = 55 and 55*6 = 330

%K nonn

%O 1,1

%A Jonathan Ayres (jonathan.ayres(AT)btinternet.com), Oct 15 2001

%E More terms from _Vladeta Jovovic_, Oct 18 2001

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Last modified September 28 06:40 EDT 2021. Contains 347703 sequences. (Running on oeis4.)