A085845 Triangle T(n, k) read by rows; given by [0, 1, 0, 1, 0, 1, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.

1, 0, 1, 0, 1, 2, 0, 1, 6, 6, 0, 1, 12, 40, 30, 0, 1, 20, 156, 474, 338, 0, 1, 30, 440, 4222, 15592, 11782, 0, 1, 42, 1010, 23030, 394082, 1779222, 1407202, 0, 1, 56, 2016, 88088, 5060140, 142358644, 709653964, 572269334, 0, 1, 72, 3640

Offset

0,6

Links

Alois P. Heinz, Rows n = 0..60, flattened

Formula

T(n,2) = A002378(n-1). - R. J. Mathar, Aug 08 2015

T(n,3) = (n-1)*(n-2)*(4*n^2-17*n+24)/3. - R. J. Mathar, Aug 08 2015

Example

1;
0,1;
0,1,2;
0,1,6,6;
0,1,12,40,30;
...

Crossrefs

Cf. A002378 (3rd column).

Sequence in context: A331047 A264550 A089949 * A138106 A131689 A278075

Adjacent sequences: A085842 A085843 A085844 * A085846 A085847 A085848

Keyword

nonn,tabl

Author

N. J. A. Sloane, Aug 16 2003

Status

approved