login
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
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's World of Mathematics, Somos Sequence.
EXAMPLE
The k-Somos sequence obeys the recurrence:
S(n) = ( Sum_{j=1..floor(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 A286475
KEYWORD
nonn,changed
AUTHOR
Paul D. Hanna, Dec 08 2004
EXTENSIONS
More terms from David Wasserman, Apr 03 2008
STATUS
approved