A205946 Triangle read by rows related to A000984, central binomial coefficients

1, 1, 1, 1, 4, 1, 1, 12, 6, 1, 1, 33, 27, 8, 1, 1, 88, 108, 44, 10, 1, 1, 232, 405, 208, 65, 12, 1, 1, 609, 1459, 908, 350, 90, 14, 1

Offset

0,5

Links

Table of n, a(n) for n=0..35.

Formula

T(n,k) = A191314(2*n,k).

Take finite differences of even numbered columns of the A205573 array from the top -> down.

Example

First few rows of the triangle =
1;
1, 1;
1, 4, 1;
1, 12, 6, 1;
1, 33, 27, 8, 1;
1, 88, 108, 44, 10, 1;
1, 232, 405, 208, 65, 12, 1;
1, 609, 1459, 908, 350, 90, 14, 1;
...
Row 2 = (1, 4, 1) = row 4 of triangle A191314.
Row 3 = (1, 12, 6, 1) = finite differences of column 6 of the array shown in A205573: (1, 13, 19, 20)

Crossrefs

Cf. A000984 (row sums), A001405, A191314, A205573, A205945 (companion).

Sequence in context: A173152 A156049 A192015 * A101919 A055106 A154372

Adjacent sequences: A205943 A205944 A205945 * A205947 A205948 A205949

Keyword

nonn,tabl

Author

Gary W. Adamson, Feb 01 2012

Status

approved