A094456 Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] DELTA [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where DELTA is the operator defined in A084938.

1, 0, 1, 0, 1, 2, 0, 1, 5, 5, 0, 1, 10, 22, 14, 0, 1, 19, 70, 93, 42, 0, 1, 36, 201, 421, 386, 132, 0, 1, 69, 559, 1657, 2324, 1586, 429, 0, 1, 134, 1548, 6162, 11836, 12136, 6476, 1430, 0, 1, 263, 4316, 22445, 55843, 76928, 60948, 26333, 4862, 0, 1, 520, 12163, 81451, 254415, 444666, 467426, 297335, 106762, 16796

Offset: 0

Author

Philippe Deléham, Jun 04 2004

Keywords

• nonn
• tabl

Comments

Diagonals : A000007, A000012, A052944; A000108, A000346.

Triangle :

1;

0, 1;

0, 1, 2;

0, 1, 5, 5;

0, 1, 10, 22, 14;

...

The alternating sum is (-1)^n = A033999(n). - F. Chapoton, Mar 18 2023

Links

• Alois P. Heinz, Rows n = 0..150, flattened

Crossrefs

Cf. A000108 (main diagonal), A033999, A084938, A090365 (row sums).

Formula

Sum_{k=0..n} T(n,k) = A090365(n).