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A007318^(-1) * [3*A007318^2 - 2*A000012].
1

%I #5 Mar 06 2022 00:27:01

%S 1,3,1,3,8,1,3,7,13,1,3,14,12,18,1,3,13,38,18,23,1,3,20,35,80,25,28,1,

%T 3,19,75,75,145,33,33,1,3,26,70,210,140,238,42,38,1,3,25,124,196,490,

%U 238,364,52,43,1

%N A007318^(-1) * [3*A007318^2 - 2*A000012].

%C Row sums = A132477: (1, 4, 12, 24, 48, 96, 192, ...).

%F Inverse binomial transform of [3*A007318 - 2*A000012], as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e 3, 1;

%e 3, 8, 1;

%e 3, 7, 13, 1;

%e 3, 14, 12, 18, 1;

%e 3, 13, 38, 18, 23, 1;

%e 3, 20, 35, 80, 25, 28, 1;

%e ...

%Y Cf. A007318, A000012, A132477.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Aug 22 2007