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Triangle: T(n,k)=b(n)/(b(k)*b(n-k)) where b is A048803.
5

%I #10 Jan 25 2016 14:23:28

%S 1,1,1,1,2,1,1,3,3,1,1,2,3,2,1,1,5,5,5,5,1,1,6,15,10,15,6,1,1,7,21,35,

%T 35,21,7,1,1,2,7,14,35,14,7,2,1,1,3,3,7,21,21,7,3,3,1,1,10,15,10,35,

%U 42,35,10,15,10,1,1,11,55,55,55,77,77,55,55,55,11,1,1,6,33,110,165,66

%N Triangle: T(n,k)=b(n)/(b(k)*b(n-k)) where b is A048803.

%H Tom Edgar and Michael Z. Spivey, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL19/Edgar/edgar3.html">Multiplicative functions, generalized binomial coefficients, and generalized Catalan numbers</a>, Journal of Integer Sequences, Vol. 19 (2016), Article 16.1.6.

%e 1;

%e 1,1;

%e 1,2,1;

%e 1,3,3,1;

%e 1,2,3,2,1;

%e 1,5,5,5,5,1;

%e where the last batch arises from 60/(1*60), 60/(1*12), 60/(2*6), 60/(6*2), 60/(12*1), 60/(60*1).

%K nonn,tabl

%O 0,5

%A _Christian G. Bower_, Apr 15 1999