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A354487
Triangle read by rows: T(n,k) is the denominator of the n-th term of the Somos-k sequence, 4 <= k <= n.
2
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
4,96
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).
EXAMPLE
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
CROSSREFS
Cf. A354486 (numerators), A030127.
Sequence in context: A053878 A070672 A319101 * A336699 A239700 A304906
KEYWORD
nonn,tabl,frac
AUTHOR
STATUS
approved