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Integers n such that n^2 + k is a Mersenne number 2^m - 1 for some k such that n < k < 2 * n and m odd.
1

%I #8 Mar 31 2012 10:28:53

%S 2,5,22,90,5792,46340,92681,185363,370727,2965820,5931641,47453132,

%T 94906265,759250124,1518500249,3037000499,6074000999,12148001999,

%U 24296003999,48592007999,388736063996,777472127993,1554944255987,6219777023950

%N Integers n such that n^2 + k is a Mersenne number 2^m - 1 for some k such that n < k < 2 * n and m odd.

%C Subset of A017910.

%C The corresponding Mersenne number exponents are given by A144933.

%Y Cf. A000225, A017910, A144931, A144932, A144933

%K nonn

%O 1,1

%A _Reikku Kulon_, Sep 25 2008

%E 2, 5 prepended by _Max Alekseyev_, Feb 17 2011