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A140183 Triangle read by rows, binomial transform of an infinite lower triangular matrix with (1,2,1,2,1,2,...) in the main diagonal, (1,1,1,...) in the subdiagonal and the rest zeros. 1

%I

%S 1,2,2,3,5,1,4,9,4,2,5,14,10,9,1,6,20,20,25,6,2,7,27,35,55,21,13,1,8,

%T 35,56,105,56,49,8,2,9,44,84,182,126,140,36,17,1,10,54,120,294,252,

%U 336,120,81,10,2,1,65,165,450,462,714,330,285,55,21,1

%N Triangle read by rows, binomial transform of an infinite lower triangular matrix with (1,2,1,2,1,2,...) in the main diagonal, (1,1,1,...) in the subdiagonal and the rest zeros.

%C Row sums = A052549: (1, 4, 9, 19, 39, 79,...).

%F Triangle read by rows, A007318 as an infinite lower triangular matrix * a bidiagonal matrix with (1,2,1,2,1,2,...) in the main diagonal and (1,1,1,...) in the subdiagonal.

%e First few rows of the triangle are:

%e 1;

%e 2, 2;

%e 3, 5, 1;

%e 4, 9, 4, 2;

%e 5, 14, 10, 9, 1;

%e 6, 20, 20, 25, 6, 2;

%e 7, 27, 35, 55, 21, 13, 1;

%e ...

%Y Cf. A052549.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, May 11 2008

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Last modified December 7 00:41 EST 2019. Contains 329816 sequences. (Running on oeis4.)