A154557 Production array of A122848, read by row.

0, 1, 0, 1, 1, 0, -1, 2, 1, 0, 3, -3, 3, 1, 0, -15, 12, -6, 4, 1, 0, 105, -75, 30, -10, 5, 1, 0, -945, 630, -225, 60, -15, 6, 1, 0, 10395, -6615, 2205, -525, 105, -21, 7, 1, 0, -135135, 83160, -26460, 5880, -1050, 168, -28, 8, 1, 0, 2027025, -1216215, 374220, -79380

Offset: 0

Author

Paul Barry, Jan 11 2009

Keywords

• sign
• tabf

Examples

			Array starts
  0, 1,
  0, 1, 1,
  0, -1, 2, 1,
  0, 3, -3, 3, 1,
  0, -15, 12, -6, 4, 1,
  0, 105, -75, 30, -10, 5, 1,
  0, -945, 630, -225, 60, -15, 6, 1,
  0, 10395, -6615, 2205, -525, 105, -21, 7, 1,
  0, -135135, 83160, -26460, 5880, -1050, 168, -28, 8, 1
  0, 2027025, -1216215, 374220, -79380, 13230, -1890, 252, -36, 9, 1
Square of this array is
  0, 1, 1,
  0, 0, 3, 1,
  0, 0, 0, 5, 1,
  0, 0, 0, 0, 7, 1,
  0, 0, 0, 0, 0, 9, 1,
  0, 0, 0, 0, 0, 0, 11, 1,
  0, 0, 0, 0, 0, 0, 0, 13, 1,
  0, 0, 0, 0, 0, 0, 0, 0, 15, 1,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 1
		

Links

• E. Deutsch, L. Ferrari and S. Rinaldi, Production Matrices and Riordan arrays, arXiv:math/0702638 [math.CO], 2007.
• E. Deutsch, L. Ferrari and S. Rinaldi, Production Matrices, Advances in Applied Mathematics, 34 (2005) pp. 101-122.

Crossrefs

Cf. A113278, A122848, A132382, A001147.