A145973 Triangle read by rows, square of A053121.

1, 0, 1, 2, 0, 1, 0, 4, 0, 1, 7, 0, 6, 0, 1, 0, 18, 0, 8, 0, 1, 29, 0, 33, 0, 10, 0, 1, 0, 86, 0, 52, 0, 12, 0, 1, 131, 0, 179, 0, 75, 0, 14, 0, 1, 0, 427, 0, 316, 0, 102, 0, 16, 0, 1, 625, 0, 972, 0, 505, 0, 133, 0, 18, 0, 1

Offset: 0

Author

Gary W. Adamson and Roger L. Bagula, Oct 25 2008

Keywords

• nonn
• tabl

Comments

Left border = aerated version of A007852.

Examples

			First few rows of the triangle:
    1;
    0,   1;
    2,   0,   1;
    0,   4,   0,   1;
    7,   0,   6,   0,   1;
    0,  18,   0,   8,   0,   1;
   29,   0,  33,   0,  10,   0,   1;
    0,  86,   0,  52,   0,  12,   0,   1;
  131,   0, 179,   0,  75,   0,  14,   0,   1;
    0, 427,   0, 316,   0, 102,   0,  16,   0,   1;
  625,   0, 972,   0, 505,   0, 133,   0,  18,   0,   1;
  ...
		

Crossrefs

Cf. A053121.

Cf. A007852, A145974 (row sums).

This triangle is the square of A053121.

Programs

Maple

A145973 := proc(n,k)
    add(A053121(n,j)*A053121(j,k),j=k..n) ;
end proc: # R. J. Mathar, Mar 03 2013

Formula

Triangle read by rows, A053121^2.