A105848 Binomial transform of number triangle A105632.

1, 2, 1, 5, 3, 1, 14, 9, 4, 1, 42, 29, 14, 5, 1, 132, 99, 50, 20, 6, 1, 429, 351, 186, 78, 27, 7, 1, 1430, 1275, 714, 311, 114, 35, 8, 1, 4862, 4707, 2796, 1271, 483, 159, 44, 9, 1, 16796, 17577, 11082, 5282, 2082, 712, 214, 54, 10, 1, 58786, 66197, 44250, 22160

Offset

0,2

Comments

Product of binomial matrix C(n,k) and A105632. Row sums are A105849.

Links

Table of n, a(n) for n=0..58.

Formula

Column k has g.f. (sum{j=0..k-1, C(k-1, j)C(j)x^(2j)/(1-4x)^(j+1/2)}+0^k*(1-2x-sqrt(1-4x))/(2x^2))(x/(1-x))^k

Example

Triangle begins
1;
2,1;
5,3,1;
14,9,4,1;
42,29,14,5,1;
132,99,50,20,6,1;

Crossrefs

Sequence in context: A135233 A125170 A054445 * A048471 A067345 A242431

Adjacent sequences: A105845 A105846 A105847 * A105849 A105850 A105851

Keyword

easy,nonn,tabl

Author

Paul Barry, Apr 22 2005

Status

approved