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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).
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%I #5 Mar 30 2012 18:36:39

%S 1,2,6,30,219,2029,21951,266508,3555679,51459059,800597860,

%T 13299687789,234649789192,4377700776217,86042611873972,

%U 1775987427897604,38389651084747947,866887176020724213,20404374490338189930

%N 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).

%e Table A088158 begins:

%e 1.1..4..25.202.1944.21356...

%e 1.1..2...9..58..470..4492...

%e 1.2..4..14..80..604..5520...

%e 1.3..8..25.124..862..7468...

%e 1.4.14..46.202.1272.10340...

%e 1.5.22..82.342.1944.14664...

%e 1.6.32.138.586.3074.21356...

%e ...

%Y Cf. A088158, A088159.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Sep 20 2003

%E More terms from _Ray Chandler_, Sep 23 2003