A354487 Triangle read by rows: T(n,k) is the denominator of the n-th term of the Somos-k sequence, 4 <= k <= n.
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 91, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
Offset: 4
Examples
Triangle begins: n\k| 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ---+------------------------------------------------------ 4 | 1 5 | 1 1 6 | 1 1 1 7 | 1 1 1 1 8 | 1 1 1 1 1 9 | 1 1 1 1 1 1 10 | 1 1 1 1 1 1 1 11 | 1 1 1 1 1 1 1 1 12 | 1 1 1 1 1 1 1 1 1 13 | 1 1 1 1 1 1 1 1 1 1 14 | 1 1 1 1 1 1 1 1 1 1 1 15 | 1 1 1 1 1 1 1 1 1 1 1 1 16 | 1 1 1 1 1 1 1 1 1 1 1 1 1 17 | 1 1 1 1 7 1 1 1 1 1 1 1 1 1 18 | 1 1 1 1 91 1 1 1 1 1 1 1 1 1 1 19 | 1 1 1 1 2275 7 1 1 1 1 1 1 1 1 1 1 20 | 1 1 1 1 138775 7 5 1 1 1 1 1 1 1 1 1 1
Links
- Pontus von Brömssen, Rows n = 4..36, flattened
- Eric Weisstein's World of Mathematics, Somos Sequence
- Wikipedia, Somos sequence
Formula
T(n,k) = 1 if 4 <= k <= 7 or n < A030127(k).