%I A064414
%S A064414 1,2,3,4,6,7,9,14,23,27,43,49,67,81,83,86,98,103,127,134,163,167,206,
%T A064414 223,227,243,254,283,326,343,367,383,443,446,463,467,487,503,523,529,
%U A064414 547,566,587,607,643,647,683,686,727,729,734,787,823,827,863,883,887
%N A064414 Fix a > 0, b > 0, k > 0 and define G_1 = a, G_2 = b, G_k = G_(k-1) + 
               G_(k-2); sequence gives n such that for any (a,b), some G_k is divisible 
               by n.
%D A064414 Teruo Nishiyama, Fibonacci numbers, Suuri-Kagaku, No. 285, March 1987, 
               67-69, (in Japanese).
%e A064414 If a = 1, b = 4, then G_k is (1,4,5,9,14,23,....) and no G_k is a multiple 
               of 11. Therefore 11 is not in the sequence.
%Y A064414 Prime members are in A000057.
%Y A064414 Sequence in context: A089388 A055494 A165773 this_sequence A002475 A057519 
               A155905
%Y A064414 Adjacent sequences: A064411 A064412 A064413 this_sequence A064415 A064416 
               A064417
%K A064414 easy,nonn,nice
%O A064414 1,2
%A A064414 Naohiro Nomoto (n_nomoto(AT)yabumi.com), Oct 15 2001
%E A064414 More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jul 18 
               2002