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%I #5 Feb 20 2022 01:23:41

%S 1,1,1,0,2,1,-2,3,3,1,-6,4,6,4,1,-14,4,10,10,5,1,-30,0,15,20,15,6,1,

%T -62,-14,21,35,35,21,7,1,-125,-48,27,56,70,56,28,8,1,-245,-118,27,84,

%U 126,126,84,36,9,1

%N A007318 * A129360.

%C Row sums = A119968: (1, 2, 3, 5, 9, 16, 27, ...). A129571 = A129360 * A007318.

%F Binomial transform of A129360 (as infinite lower triangular matrices).

%e First few rows of the triangle:

%e 1;

%e 1, 1;

%e 0, 2, 1;

%e -2, 3, 3, 1;

%e -6, 4, 6, 4, 1;

%e -14, 4, 10, 10, 5, 1;

%e -30, 0, 15, 20, 15, 6, 1;

%e -62, -14, 21, 35, 35, 21, 7, 1;

%e ...

%Y Cf. A007318, A129360, A119968, A129571.

%K tabl,sign

%O 1,5

%A _Gary W. Adamson_, Apr 22 2007