This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A101591 #16 Feb 16 2025 08:32:55
%S A101591 8,9,13,16,19,20,25,27,32,37,40,53,61,64,73,80,97,104,114,128,133,134,
%T A101591 177,205,209,232,272,275,395,486,920,991,1174,1195,1609,1612,1707,
%U A101591 1734,1856,2168,2313,2409,2896,3136,3857,4753,5503,6289
%N A101591 Indices k >= 8 designating the k-Somos sequences that first become nonintegral at odd-indexed terms (i.e., positions of odd terms in A030127).
%C A101591 When k is in this sequence, the k-Somos sequence first becomes nonintegral at 2*k + 1; otherwise, the k-Somos sequence first becomes nonintegral at 2*k (conjecture).
%H A101591 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SomosSequence.html">Somos Sequence</a>.
%e A101591 The k-Somos sequence obeys the recurrence:
%e A101591 S(n) = ( Sum_{j=1..floor(k/2)} S(n-j)*S(n-k+j) )/S(n-k),
%e A101591 with S(0) = S(1) = ... = S(k-1) = 1.
%Y A101591 Cf. A030127.
%K A101591 nonn
%O A101591 1,1
%A A101591 _Paul D. Hanna_, Dec 08 2004
%E A101591 More terms from _David Wasserman_, Apr 03 2008