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Binomial transform of A128132.
3

%I #7 Feb 15 2022 11:12:24

%S 1,0,2,-1,3,3,-2,3,8,4,-3,2,14,15,5,-4,0,20,35,24,6,-5,-3,25,65,69,35,

%T 7,-6,-7,28,105,154,119,48,8,-7,-12,28,154,294,308,188,63,9,-8,-18,24,

%U 210,504,672,552,279,80,10

%N Binomial transform of A128132.

%C Row sums = A005183: (1, 2, 5, 13, 33, 81, 193, ...).

%C A128132 * A007318 = A128134.

%F A007318 * A128132 as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e 0, 2;

%e -1, 3, 3;

%e -2, 3, 8, 4;

%e -3, 2, 14, 15, 5;

%e -4, 0, 20, 35, 24, 6;

%e -5, -3, 25, 65, 69, 35, 7;

%e ...

%Y Cf. A128132, A007318, A128134, A005183.

%K tabl,sign

%O 1,3

%A _Gary W. Adamson_, Feb 15 2007