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%I #7 Apr 08 2013 04:41:17
%S 1,2,1,3,1,5,4,0,11,14,5,-2,20,14,94,6,-5,34,-10,214,444,7,-9,55,-74,
%T 454,444,3828,8,-14,85,-200,974,-636,8868,25584,9,-20,126,-416,2024,
%U -4236,21468,25584,270576,10,-27,180,-756,3968,-13056,56748,-55056,633456,2342880,11,-35,249,-1260,7308
%N Square array of coefficients of binomial polynomials, read by antidiagonals.
%C Columns include A080956, A080957. Rows include A024167, A080959.
%F T(n, k) = k!Sum{j=1..k, (-1)^(j+1) binomial(n+j, j)/j}
%e Rows begin
%e 1 1 5 14 94 ...
%e 2 1 11 14 214 ...
%e 3 0 20 -10 454 ...
%e 4 -2 34 -74 974 ...
%K easy,sign,tabl
%O 1,2
%A _Paul Barry_, Mar 01 2003
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