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A088158 Square table T(n,k), read by antidiagonals, that satisfies T(n,0)=1, 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). 2

%I #3 Mar 30 2012 18:36:39

%S 1,1,1,4,1,1,25,2,2,1,202,9,4,3,1,1944,58,14,8,4,1,21356,470,80,25,14,

%T 5,1,261213,4492,604,124,46,22,6,1,3500132,48841,5520,862,202,82,32,7,

%U 1,50800750,590790,58246,7468,1272,342,138,44,8,1,791987356,7831542

%N Square table T(n,k), read by antidiagonals, that satisfies T(n,0)=1, 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 begins:

%e 1.1..4..25.202.1944.21356.261213...

%e 1.1..2...9..58..470..4492..48841...

%e 1.2..4..14..80..604..5520..58246...

%e 1.3..8..25.124..862..7468..75929...

%e 1.4.14..46.202.1272.10340.100658...

%e 1.5.22..82.342.1944.14664.135690...

%e 1.6.32.138.586.3074.21356.186340...

%e 1.7.44.219.990.4984.31980.261213...

%e ...

%Y Cf. A088159, A088160.

%K nonn,tabl

%O 0,4

%A _Paul D. Hanna_, Sep 20 2003

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Last modified July 22 13:36 EDT 2024. Contains 374499 sequences. (Running on oeis4.)