A375383 Triangle read by rows: The matrix inverse of the row reversed Euler table A026820.

1, -2, 1, 1, -2, 1, 0, 2, -3, 1, 0, -2, 4, -3, 1, 0, 2, -4, 5, -4, 1, 0, -2, 4, -7, 8, -4, 1, 0, 3, -6, 12, -15, 10, -5, 1, 0, -6, 12, -23, 28, -20, 13, -5, 1, 0, 13, -26, 48, -57, 42, -31, 16, -6, 1, 0, -30, 60, -110, 130, -98, 76, -43, 20, -6, 1

Offset: 1

Author

Peter Luschny, Aug 13 2024

Keywords

• sign
• tabl

Examples

			Triangle starts:
  [1] [ 1]
  [2] [-2,  1]
  [3] [ 1, -2,  1]
  [4] [ 0,  2, -3,   1]
  [5] [ 0, -2,  4,  -3,   1]
  [6] [ 0,  2, -4,   5,  -4,   1]
  [7] [ 0, -2,  4,  -7,   8,  -4,  1]
  [8] [ 0,  3, -6,  12, -15,  10, -5,  1]
  [9] [ 0, -6, 12, -23,  28, -20, 13, -5, 1]
		

Crossrefs

Cf. A026820, A008284, A058400, A375382 (row sums of abs(term)).

Programs

Maple

with(LinearAlgebra):
A058400 := Matrix(10, (n, k) -> ifelse(k <= n, A026820(n, n - k + 1), 0)):
MatrixInverse(A058400);