

A205946


Triangle read by rows related to A000984, central binomial coefficients


3



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
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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



