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%I #6 Mar 04 2022 01:25:25

%S 1,3,1,5,5,1,7,11,7,1,9,19,19,9,1,11,29,39,29,11,1,13,41,69,69,41,13,

%T 1,15,55,111,139,111,55,15,1,17,71,167,251,251,167,71,17,1,19,89,239,

%U 419,503,419,239,89,19,1

%N 2*(A007318 * A097807) - A000012.

%C Row sums = A000295, the Eulerian numbers, starting (1, 4, 11, 26, 57, 120, ...).

%F 2*(A007318 * A097807) - A000012 as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e 3, 1;

%e 5, 5, 1;

%e 7, 11, 7, 1;

%e 9, 19, 19, 9, 1;

%e 11, 29, 39, 29, 11, 1;

%e 13, 41, 69, 69, 41, 13, 1;

%e 15, 55, 111, 139, 111, 55, 15, 1;

%e ...

%Y Cf. A007318, A097807, A000012, A000295.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Jul 13 2007