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

4,96

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

Adjacent sequences: A354484 A354485 A354486 * A354488 A354489 A354490

Keyword

nonn,tabl,frac

Author

Pontus von Brömssen, May 28 2022

Status

approved