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A048804 Triangle: T(n,k)=b(n)/(b(k)*b(n-k)) where b is A048803.

%I A048804 #12 Mar 02 2025 08:17:45
%S A048804 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 A048804 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 A048804 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 A048804 Triangle: T(n,k)=b(n)/(b(k)*b(n-k)) where b is A048803.
%H A048804 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 A048804 1;
%e A048804 1,1;
%e A048804 1,2,1;
%e A048804 1,3,3,1;
%e A048804 1,2,3,2,1;
%e A048804 1,5,5,5,5,1;
%e A048804 where the last batch arises from 60/(1*60), 60/(1*12), 60/(2*6), 60/(6*2), 60/(12*1), 60/(60*1).
%p A048804 A048804 := proc(n,k)
%p A048804     A048803(n)/A048803(k)/A048803(n-k) ;
%p A048804 end proc:
%p A048804 seq(seq(A048804(n,k),k=0..n),n=0..20) ; # _R. J. Mathar_, Mar 02 2025
%K A048804 nonn,tabl
%O A048804 0,5
%A A048804 _Christian G. Bower_, Apr 15 1999