cp's OEIS Frontend

A373101 Triangle read by rows, T(n,k) = (binomial(n,k)^3 - binomial(n,k))/6 for k=1..n-1 and n >= 2.

%I A373101 #8 May 26 2024 16:12:30
%S A373101 1,4,4,10,35,10,20,165,165,20,35,560,1330,560,35,56,1540,7140,7140,
%T A373101 1540,56,84,3654,29260,57155,29260,3654,84,120,7770,98770,333375,
%U A373101 333375,98770,7770,120,165,15180,287980,1543465,2667126,1543465,287980,15180,165
%N A373101 Triangle read by rows, T(n,k) = (binomial(n,k)^3 - binomial(n,k))/6 for k=1..n-1 and n >= 2.
%C A373101 This triangle was mentioned in A143420 with the wrong A-number A143419.
%e A373101 T(n,k) for n=2..7:
%e A373101    1;
%e A373101    4,    4;
%e A373101   10,   35,   10;
%e A373101   20,  165,  165,   20;
%e A373101   35,  560, 1330,  560,   35;
%e A373101   56, 1540, 7140, 7140, 1540, 56;
%p A373101 seq(print(n,seq((binomial(n,k)^3 - binomial(n,k))/6,k=1..n-1)),n=2..10);
%Y A373101 Cf. A143418, A143420.
%K A373101 nonn,easy,tabl
%O A373101 2,2
%A A373101 _Georg Fischer_, May 23 2024