A085791 Triangle T(n,k) read by rows; given by [0,1,0,1,0,1,0,1,...] DELTA [1,0,1,1,1,2,1,3,1,4,1,5,...], where DELTA is the operator defined in A084938.

1, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 6, 7, 1, 0, 1, 10, 24, 16, 1, 0, 1, 15, 60, 86, 40, 1, 0, 1, 21, 125, 301, 312, 116, 1, 0, 1, 28, 231, 826, 1443, 1215, 395, 1, 0, 1, 36, 392, 1932, 4992, 7055, 5187, 1551, 1, 0, 1, 45, 624, 4032, 14274, 29629, 36242, 24280

Offset

0,9

Links

Table of n, a(n) for n=0..63.

Formula

Sum (k>=0, T(n; k) = A000110(n).

T(n + 1; 2) = A000217(n).

T(n + 2; 3) = A014205(n)= (1/12)*(n + 5)*(n + 1)*n^2.

T(n + 2; n + 1) = A029761(n).

Example

1;
0, 1;
0, 1, 1;
0, 1, 3, 1;
0, 1, 6, 7, 1;
0, 1, 10, 24, 16, 1; ....

Crossrefs

Cf. A084938, A085838.

Cf. A000110 A000217 A014205 A029761.

Sequence in context: A368504 A256551 A144417 * A144645 A151510 A151512

Adjacent sequences: A085788 A085789 A085790 * A085792 A085793 A085794

Keyword

easy,nonn,tabl

Author

Philippe Deléham, Jul 23 2003

Status

approved