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 A154557 Production array of A122848, read by row. 0

%I

%S 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,

%T -945,630,-225,60,-15,6,1,0,10395,-6615,2205,-525,105,-21,7,1,0,

%U -135135,83160,-26460,5880,-1050,168,-28,8,1,0,2027025,-1216215,374220,-79380

%N Production array of A122848, read by row.

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

%H E. Deutsch, L. Ferrari and S. Rinaldi, <a href="http://arxiv.org/abs/math/0702638">Production Matrices and Riordan arrays</a>, arXiv:math/0702638v1, 2007

%e Array starts

%e 0, 1,

%e 0, 1, 1,

%e 0, -1, 2, 1,

%e 0, 3, -3, 3, 1,

%e 0, -15, 12, -6, 4, 1,

%e 0, 105, -75, 30, -10, 5, 1,

%e 0, -945, 630, -225, 60, -15, 6, 1,

%e 0, 10395, -6615, 2205, -525, 105, -21, 7, 1,

%e 0, -135135, 83160, -26460, 5880, -1050, 168, -28, 8, 1

%e 0, 2027025, -1216215, 374220, -79380, 13230, -1890, 252, -36, 9, 1

%e Square of this array is

%e 0, 1, 1,

%e 0, 0, 3, 1,

%e 0, 0, 0, 5, 1,

%e 0, 0, 0, 0, 7, 1,

%e 0, 0, 0, 0, 0, 9, 1,

%e 0, 0, 0, 0, 0, 0, 11, 1,

%e 0, 0, 0, 0, 0, 0, 0, 13, 1,

%e 0, 0, 0, 0, 0, 0, 0, 0, 15, 1,

%e 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 1

%Y Cf. A113278, A132382, A001147.

%K sign,tabf

%O 0,8

%A _Paul Barry_, Jan 11 2009

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