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

0,6

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

Formula

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

Crossrefs

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

Sequence in context: A109450 A086810 A085838 * A010028 A151860 A338774

Adjacent sequences: A094453 A094454 A094455 * A094457 A094458 A094459

Keyword

nonn,tabl

Author

Philippe Deléham, Jun 04 2004

Status

approved