0,5

Triangle begins:

1;

1, 1;

1, 3, 1;

1, 8, 5, 1;

1, 22, 20, 7, 1;

1, 65, 79, 37, 9, 1;

1, 208, 322, 180, 58, 11, 1;

1, 723, 1385, 871, 339, 83, 13, 1;

1, 2721, 6293, 4296, 1935, 550, 113, 15, 1;

1, 11053, 30152, 21821, 11092, 3465, 846, 148, 17, 1; ...

Column k of T equals column 2*k of A117418, which begins:

1;

1, 1;

1, 2, 1;

1, 4, 3, 1;

1, 9, 8, 4, 1;

1, 23, 22, 14, 5, 1;

1, 66, 65, 50, 20, 6, 1;

1, 209, 208, 191, 79, 28, 7, 1; ...

Let matrix R = SHIFT_RIGHT(A117418):

1;

0, 1;

0, 1, 1;

0, 1, 2, 1;

0, 1, 4, 3, 1;

0, 1, 9, 8, 4, 1;

0, 1, 23, 22, 14, 5, 1;

0, 1, 66, 65, 50, 20, 6, 1; ...

then the matrix product A117418*R yields this triangle.

(PARI)

Cf. A117426 (row sums); A117418, A117427 (dual).

Sequence in context: A152879 A098747 A122897 this_sequence A091698 A134380 A124469

Adjacent sequences: A117422 A117423 A117424 this_sequence A117426 A117427 A117428

nonn,tabl

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 14 2006