A354486 Triangle read by rows: T(n,k) is the numerator of the n-th term of the Somos-k sequence, 4 <= k <= n.

2, 3, 2, 7, 3, 3, 23, 5, 5, 3, 59, 11, 9, 5, 4, 314, 37, 23, 9, 7, 4, 1529, 83, 75, 17, 13, 7, 5, 8209, 274, 421, 41, 25, 13, 9, 5, 83313, 1217, 1103, 137, 61, 25, 17, 9, 6, 620297, 6161, 5047, 769, 187, 49, 33, 17, 11, 6

Offset

4,1

Links

Pontus von Brömssen, Rows n = 4..36, flattened

Eric Weisstein's World of Mathematics, Somos Sequence

Wikipedia, Somos sequence

Example

Triangle begins:
  n\k|     4    5    6   7  8  9 10 11 12
  ---+-----------------------------------
   4 |     2
   5 |     3    2
   6 |     7    3    3
   7 |    23    5    5   3
   8 |    59   11    9   5  4
   9 |   314   37   23   9  7  4
  10 |  1529   83   75  17 13  7  5
  11 |  8209  274  421  41 25 13  9  5
  12 | 83313 1217 1103 137 61 25 17  9  6

Crossrefs

Cf. A354487 (denominators).

Columns 4-7 are A006720-A006723 (without the initial 1's).

Sequence in context: A333986 A349664 A266258 * A180916 A379228 A319374

Adjacent sequences: A354483 A354484 A354485 * A354487 A354488 A354489

Keyword

nonn,tabl,frac

Author

Pontus von Brömssen, May 28 2022

Status

approved