A167271 Triangle read by rows, A167269 columns aerated with k zeros

1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 3, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 4, 0, 3, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 5, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 6, 1, 6, 0, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

0,8

Comments

Row sums = A167272: (1, 2, 2, 4, 2, 6, 2, 9,k 3, 8, 2, 19,...).

Product of columns = A167273: (1, 1, 3, 4, 10, 13, 28, 37, 73,...).

Links

Table of n, a(n) for n=0..90.

Formula

Given triangle A167269, T(n,k), aerate column terms with k zeros.

Example

First few rows of the triangle =
1,
1, 1;
1, 0, 1;
1, 2, 0, 1;
1, 0, 0, 0, 1;
1, 3, 1, 0, 0, 1;
1, 0, 0, 0, 0, 0, 1;
1, 4, 0, 3, 0, 0, 0, 1;
1, 0, 1, 0, 0, 0, 0, 0, 1;
1, 5, 0, 0, 1, 0, 0, 0, 0, 1;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
1, 6, 1, 6, 0, 4, 0, 0, 0, 0, 0, 1;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
1, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1;
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
1, 8, 0, 10, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1;
...

Crossrefs

Cf. A167269, A167272, A167273

Sequence in context: A286563 A216282 A147861 * A156348 A306437 A343746

Adjacent sequences: A167268 A167269 A167270 * A167272 A167273 A167274

Keyword

nonn,tabl

Author

Gary W. Adamson & Mats Granvik, Oct 31 2009

Status

approved