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Triangle T(n,k) = 2*A002024(n+1,k+1) + A007318(n,k) - 2, read by rows.
1

%I #7 Oct 16 2012 10:01:43

%S 1,3,3,5,6,5,7,9,9,7,9,12,14,12,9,11,15,20,20,15,11,13,18,27,32,27,18,

%T 13,15,21,35,49,49,35,21,15,17,24,44,72,86,72,44,24,17,19,27,54,102,

%U 144,144,102,54,27,19

%N Triangle T(n,k) = 2*A002024(n+1,k+1) + A007318(n,k) - 2, read by rows.

%C Row sums = A131949.

%F 2*A002024 + A007318 - 2*A000012 as infinite lower triangular matrices.

%e First few rows of the triangle are:

%e 1;

%e 3, 3;

%e 5, 6, 5;

%e 7, 9, 9, 7;

%e 9, 12, 14, 12, 9;

%e 11, 15, 20, 20, 15, 11;

%e 13, 18, 27, 32, 27, 18, 13;

%e 15, 21, 35, 49, 49, 35, 21, 15;

%e ...

%Y Cf. A002024, A007318, A131949.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Jul 30 2007

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