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A292996 Index of first nonintegral term in the sequence b(1)=2, b(k)=b(k-1)*(b(k-1)+k-1+n)/k (k>=2).

%I A292996 #7 Sep 27 2017 21:58:14
%S A292996 43,3,7,5,3,7,59,3,5,7,3,23,7,3,19,17,3,73,5,3,19,13,3,5,17,3,7,17,3,
%T A292996 59,7,3,17,5,3,43,17,3,5,19,3,17,29,3,7,11,3,7,5,3,31,7,3,5,7,3,11,23,
%U A292996 3,83,13,3,41,5,3,7,17,3,5,47,3,19,7,3,23,7,3,19,5,3,23,31,3,5,43,3,7,17,3,7,19,3,17,5,3,17,7,3,5,13,3,93
%N A292996 Index of first nonintegral term in the sequence b(1)=2, b(k)=b(k-1)*(b(k-1)+k-1+n)/k (k>=2).
%C A292996 a(0)=A097398(1,2)=43 corresponds to Goebel's sequence A003504.
%C A292996 First composite term is a(101)=93.
%H A292996 Max Alekseyev, <a href="/A292996/b292996.txt">Table of n, a(n) for n = 0..10000</a>
%H A292996 M. Alekseyev, <a href="https://mathoverflow.net/q/282154">Simple recurrence that fails to be integer for the first time at the 44th term</a>, Mathoverflow, 2017.
%Y A292996 Cf. A003504, A097398.
%K A292996 nonn
%O A292996 0,1
%A A292996 _Max Alekseyev_, Sep 27 2017