A155727 Production matrix of the Jacobsthal numbers, read by row.

0, 1, 3, -1, 1, 5, 0, -1, 1, 7, 0, 0, -1, 1, 9, 0, 0, 0, -1, 1, 11, 0, 0, 0, 0, -1, 1, 13, 0, 0, 0, 0, 0, -1, 1, 15, 0, 0, 0, 0, 0, 0, -1, 1, 17, 0, 0, 0, 0, 0, 0, 0, -1, 1

Offset

0,3

Comments

The matrix generated by the matrix has row sums A001045(n+1).

Links

Table of n, a(n) for n=0..53.

E. Deutsch, L. Ferrari and S. Rinaldi, Production Matrices, Advances in Applied Mathematics, 34 (2005) pp. 101-122.

Example

Matrix begins
   0, 1,
   3, -1, 1,
   5, 0, -1, 1,
   7, 0, 0, -1, 1,
   9, 0, 0, 0, -1, 1,
  11, 0, 0, 0, 0, -1, 1,
  13, 0, 0, 0, 0, 0, -1, 1,
  15, 0, 0, 0, 0, 0, 0, -1, 1,
  17, 0, 0, 0, 0, 0, 0, 0, -1, 1

Crossrefs

Cf. A001045, A155726.

Sequence in context: A294761 A167284 A016463 * A098084 A016562 A087501

Adjacent sequences: A155724 A155725 A155726 * A155728 A155729 A155730

Keyword

sign,tabf

Author

Paul Barry, Jan 25 2009

Status

approved