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

Author

Paul D. Hanna, Dec 08 2004

Keywords

• nonn

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).

Examples

			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.
		

Links

• Eric Weisstein's World of Mathematics, Somos Sequence.

Crossrefs

Cf. A030127.

Extensions

More terms from David Wasserman, Apr 03 2008