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).

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, 5, 1, 261213, 4492, 604, 124, 46, 22, 6, 1, 3500132, 48841, 5520, 862, 202, 82, 32, 7, 1, 50800750, 590790, 58246, 7468, 1272, 342, 138, 44, 8, 1, 791987356, 7831542

Offset

0,4

Links

Table of n, a(n) for n=0..56.

Example

Table begins:
1.1..4..25.202.1944.21356.261213...
1.1..2...9..58..470..4492..48841...
1.2..4..14..80..604..5520..58246...
1.3..8..25.124..862..7468..75929...
1.4.14..46.202.1272.10340.100658...
1.5.22..82.342.1944.14664.135690...
1.6.32.138.586.3074.21356.186340...
1.7.44.219.990.4984.31980.261213...
...

Crossrefs

Cf. A088159, A088160.

Sequence in context: A220652 A169654 A357744 * A136449 A209427 A140805

Adjacent sequences: A088155 A088156 A088157 * A088159 A088160 A088161

Keyword

nonn,tabl

Author

Paul D. Hanna, Sep 20 2003

Status

approved