%I A110770
%S A110770 1,3,1,6,10,1,10,36,35,1,15,91,220,126,1,21,190,816,1365,462,1,28,351,
%T A110770 2300,7315,8568,1716,1,36,595,5456,27405,65780,54264,6435,1,45,946,
%U A110770 11480,82251,324632,593775,346104,24310,1,55,1431,22100,211876,1221759
%N A110770 Triangle read by rows: T(n,k)=binom(t(n)-t(k-1),k), where t(j)=j(j+1)/
               2; 1<=k<=n.
%C A110770 T(n,1)=t(n)=n(n+1)/2=A000217(n); T(n,n)=1 - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Oct 09 2006
%e A110770 Triangle starts:
%e A110770 1;
%e A110770 3,1;
%e A110770 6,10,1;
%e A110770 10,36,35,1;
%e A110770 15,91,220,126,1;
%p A110770 t:=n->n*(n+1)/2: T:=proc(n,k) if k<=n then binomial(t(n)-t(k-1),k) else 
               0 fi end: for n from 1 to 10 do seq(T(n,k),k=1..n) od; # yields sequence 
               in triangular form - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 
               09 2006
%Y A110770 Cf. A110768, A110769, A110771.
%Y A110770 Cf. A000217.
%Y A110770 Sequence in context: A163213 A095066 A084536 this_sequence A106855 A064282 
               A087644
%Y A110770 Adjacent sequences: A110767 A110768 A110769 this_sequence A110771 A110772 
               A110773
%K A110770 easy,tabl,nonn
%O A110770 1,2
%A A110770 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 12 2005
%E A110770 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 09 2006