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 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). 1
 8, 9, 13, 16, 19, 20, 25, 27, 32, 37, 40, 53, 61, 64, 73, 80, 97, 104, 114, 128, 133, 134, 177, 205, 209, 232, 272, 275, 395, 486, 920, 991, 1174, 1195, 1609, 1612, 1707, 1734, 1856, 2168, 2313, 2409, 2896, 3136, 3857, 4753, 5503, 6289 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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). LINKS Eric Weisstein. MathWorld - "Somos Sequence". EXAMPLE The k-Somos sequence obeys the recurrence: S(n) = ( Sum_{j=1..[k/2]} S(n-j)*S(n-k+j) )/S(n-k), with S(0)=S(1)=...=S(k-1)=1. CROSSREFS Cf. A030127. Sequence in context: A064164 A079525 A083131 * A076769 A105741 A083134 Adjacent sequences:  A101588 A101589 A101590 * A101592 A101593 A101594 KEYWORD nonn AUTHOR Paul D. Hanna, Dec 08 2004 EXTENSIONS More terms from David Wasserman, Apr 03 2008 STATUS approved

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