A133804 - OEIS

%I #13 Jun 08 2023 09:36:44

%S 1,2,1,3,3,1,4,7,4,1,5,14,10,5,1,6,25,20,16,6,1,7,41,35,41,21,7,1,8,

%T 63,56,91,56,29,8,1,9,92,84,182,126,92,36,9,1,10,129,120,336,252,246,

%U 120,46,10,1,11,175,165,582,462,582,330,175,55,11,1,12,231,220,957,792,1254,792,550,220,67,12,1

%N Triangle read by rows: A007318 * A133080 * A133566.

%C Row sums = A133124: (1, 3, 7, 16, 35, 74, 153, ...).

%C A133805 = binomial transform of (A133566 * A133080).

%F Binomial transform of (A133080 * A133566), where A133080 * A133566 = an infinite lower triangular matrix with (1,1,1,...) in the main and subdiagonals and (0,1,0,1,0,...) in the subsubdiagonal.

%e First few rows of the triangle:

%e   1;

%e   2,  1;

%e   3,  3,  1;

%e   4,  7,  4,  1;

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

%e   6, 25, 20, 16,  6,  1;

%e   7, 41, 35, 41, 21,  7,  1;

%e   ...

%Y Cf. A133080, A133124, A133566.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Sep 23 2007

%E a(21) = 1 inserted and more terms from _Georg Fischer_, Jun 08 2023