cp's OEIS Frontend

A054110 Triangular array T(n,k): in Pascal's triangle, draw vertical lines through binomial(n-1,k-1) (if present) and binomial(n-1,k) (if present); then T(n,k) is the sum of binomial(i,j) that lie on or between the lines and not below binomial(n,k).

%I A054110 #5 Mar 30 2012 18:57:03
%S A054110 1,1,1,1,5,1,1,8,8,1,1,10,17,10,1,1,12,28,28,12,1,1,14,40,57,40,14,1,
%T A054110 1,16,54,98,98,54,16,1,1,18,70,152,197,152,70,18,1,1,20,88,222,350,
%U A054110 350,222,88,20,1,1,22,108,310,572,701,572,310,108
%N A054110 Triangular array T(n,k): in Pascal's triangle, draw vertical lines through binomial(n-1,k-1) (if present) and binomial(n-1,k) (if present); then T(n,k) is the sum of binomial(i,j) that lie on or between the lines and not below binomial(n,k).
%e A054110 Rows: {1}, {1,1}, {1,5,1}, {1,8,8,1}, ...
%K A054110 nonn,tabl
%O A054110 0,5
%A A054110 _Clark Kimberling_