A088160 Sum of antidiagonals of square table that satisfies T(n+1,k+1) = sum(i=0,n, sum(j=0,k, T(n-i,k-j)*T(i,j) )) such that the top row and diagonal are equal: T(0,k)=T(k,k)=A088159(k).

1, 2, 6, 30, 219, 2029, 21951, 266508, 3555679, 51459059, 800597860, 13299687789, 234649789192, 4377700776217, 86042611873972, 1775987427897604, 38389651084747947, 866887176020724213, 20404374490338189930

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Example

Table A088158 begins:
1.1..4..25.202.1944.21356...
1.1..2...9..58..470..4492...
1.2..4..14..80..604..5520...
1.3..8..25.124..862..7468...
1.4.14..46.202.1272.10340...
1.5.22..82.342.1944.14664...
1.6.32.138.586.3074.21356...
...

Crossrefs

Cf. A088158, A088159.

Sequence in context: A333508 A205569 A108204 * A112317 A089459 A027882

Adjacent sequences: A088157 A088158 A088159 * A088161 A088162 A088163

Keyword

nonn

Author

Paul D. Hanna, Sep 20 2003

Extensions

More terms from Ray Chandler, Sep 23 2003

Status

approved