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A007318 * A093178 as a diagonalized matrix.
1

%I #5 Mar 23 2022 01:07:39

%S 1,1,1,1,2,3,1,3,9,1,1,4,18,4,5,1,5,30,10,25,1,1,6,45,20,75,6,7,1,7,

%T 63,35,175,21,49,1,1,8,84,56,350,56,196,8,9,1,9,108,84,630,126,588,36,

%U 81,1

%N A007318 * A093178 as a diagonalized matrix.

%C Row sums = A133936: (1, 2, 6, 14, 32, 72, 160, ...).

%F Binomial transform of an infinite lower triangular matrix with A093178: (1, 1, 3, 1, 5, 1, 7, ...) in the main diagonal and the rest zeros.

%e First few rows of the triangle:

%e 1;

%e 1, 1;

%e 1, 2, 3;

%e 1, 3, 9, 1;

%e 1, 4, 18, 4, 5;

%e 1, 5, 30, 10, 25, 1;

%e 1, 6, 45, 20, 75, 6, 7;

%e 1, 7, 63, 35, 175, 21, 49, 1;

%e ...

%Y Cf. A093178, A133936.

%K nonn,tabl

%O 0,5

%A _Gary W. Adamson_, Sep 29 2007