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

0,8

Links

Table of n, a(n) for n=0..58.

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.

Example

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

Crossrefs

Cf. A113278, A122848, A132382, A001147.

Sequence in context: A228821 A336932 A127258 * A049242 A108887 A337804

Adjacent sequences: A154554 A154555 A154556 * A154558 A154559 A154560

Keyword

sign,tabf

Author

Paul Barry, Jan 11 2009

Status

approved