A176919 - OEIS

%I #11 Feb 08 2022 22:43:50

%S 1,2,0,3,1,0,4,0,0,0,5,2,1,0,0,6,0,0,0,0,0,7,3,0,1,0,0,0,8,0,2,0,0,0,

%T 0,0,9,4,0,0,1,0,0,0,0,10,0,0,0,0,0,0,0,0,0,11,5,3,2,0,1,0,0,0,0,0,12,

%U 0,0,0,0,0,0,0,0,0,0,0

%N Triangle by columns: (1, 2, 3, ...) in each column interleaved with (0, 1, 2, ...) zeros. Columns > 1 shifted down twice.

%C Row sums of n-th row = A065608(n+1).

%F Triangle, left border = (1, 2, 3, ...). Each successive column is shifted down twice from previous column and interleaved with k zeros.

%e First few rows of the triangle:

%e    1;

%e    2, 0;

%e    3, 1, 0;

%e    4, 0, 0, 0;

%e    5, 2, 1, 0, 0;

%e    6, 0, 0, 0, 0, 0;

%e    7, 3, 0, 1, 0, 0, 0;

%e    8, 0, 2, 0, 0, 0, 0, 0;

%e    9, 4, 0, 0, 1, 0, 0, 0, 0;

%e   10, 0, 0, 0, 0, 0, 0, 0, 0, 0;

%e   11, 5, 3, 2, 0, 1, 0, 0, 0, 0, 0;

%e   12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;

%e   13, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0;

%e   14, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0;

%e   15, 7, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0;

%e   16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;

%e   17, 8, 5, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0;

%e   18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;

%e   19, 9, 0, 4, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0;

%e   ...

%Y Cf. A065608.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_ & _Mats Granvik_, Apr 29 2010