A350351 Array read by antidiagonals: T(n,k) is the determinant of the Hankel matrix of the 2*n-1 consecutive terms of A350330 starting at the k-th term, n >= 0, k >= 1.

1, 1, 1, 1, 1, 1, 1, 2, -3, -4, 1, 1, 1, -4, -4, 1, 1, 1, -3, 3, -1, 1, 2, -2, -3, -3, -5, 13, 1, 2, -2, -5, 8, 14, -27, -40, 1, 1, 3, -3, 2, 4, 13, -22, -68, 1, 2, -3, -3, -1, 3, -3, 10, 48, 96, 1, 1, 1, -4, -4, 3, 3, 2, -48, 96, 80

Offset

0,8

Comments

By definition of A350330, no term is zero.

Links

Table of n, a(n) for n=0..65.

Wikipedia, Hankel matrix

Example

Array begins:
  n\k|   1   2   3   4   5   6   7   8
  ---+--------------------------------
   0 |   1   1   1   1   1   1   1   1
   1 |   1   1   2   1   1   2   2   1
   2 |   1  -3   1   1  -2  -2   3  -3
   3 |  -4  -4  -3  -3  -5  -3  -3  -4
   4 |  -4   3  -3   8   2  -1  -4  -4
   5 |  -1  -5  14   4   3   3  -1   7
   6 |  13 -27  13  -3   3  -5  13  11
   7 | -40 -22  10   2 -14 -32 -36 -46
   8 | -68  48 -48  52 -40  16   8  27

Crossrefs

Cf. A350330.

Sequence in context: A086196 A373063 A332937 * A138297 A139458 A277543

Adjacent sequences: A350348 A350349 A350350 * A350352 A350353 A350354

Keyword

sign,tabl

Author

Pontus von Brömssen, Dec 26 2021

Status

approved