login
Numerators of triangular array: T(n,1)=T(n,n)=1/n and T(n,k)=T(n-1,k-1)+T(n-1,k), 1<k<n.
1

%I #3 Mar 30 2012 18:50:30

%S 1,1,1,1,1,1,1,4,4,1,1,19,8,19,1,1,107,17,17,107,1,1,39,181,17,181,39,

%T 1,1,293,479,218,218,479,293,1,1,621,1058,1351,436,1351,1058,621,1,1,

%U 5869,10327,4563,619,619,4563,10327,5869,1,1,6121,3685,7541,17677,619,17677

%N Numerators of triangular array: T(n,1)=T(n,n)=1/n and T(n,k)=T(n-1,k-1)+T(n-1,k), 1<k<n.

%e Triangle begins:.................. Numerators:

%e .............1/1.........................1

%e ..........1/2...1/2....................1...1

%e .......1/3...1/1...1/3...............1...1...1

%e ....1/4...4/3...4/3...1/4..........1...4...4...1

%e .1/5..19/12..8/3..19/12..1/5.....1..19...8..19...1.

%Y Cf. A007318, A080045.

%K nonn,tabl,frac

%O 1,8

%A _Reinhard Zumkeller_, Jan 21 2003