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).

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

Table of n, a(n) for n=1..48.

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

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