This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A092370 #7 Dec 29 2021 19:01:31
%S A092370 1,3,3,6,15,10,10,45,70,35,15,105,280,315,126,21,210,840,1575,1386,
%T A092370 462,28,378,2100,5775,8316,6006,1716,36,630,4620,17325,36036,42042,
%U A092370 25740,6435,45,990,9240,45045,126126,210210,205920,109395,24310,55,1485,17160
%N A092370 Triangle read by rows: T(n,k)=(1/2)*C(n+k,k)*C(n,n-k).
%t A092370 Table[(Binomial[n+k,k]Binomial[n,n-k])/2,{n,10},{k,n}]//Flatten (* _Harvey P. Dale_, Dec 29 2021 *)
%o A092370 (PARI) T(n,k)=(1/2)*binomial(n+k,k)*binomial(n,n-k)
%Y A092370 First column = A000217, second column = A050534, main diagonal = A001700, second diagonal = A033876.
%Y A092370 Cf. A063007.
%K A092370 nonn,tabl
%O A092370 1,2
%A A092370 _Benoit Cloitre_, Mar 20 2004
%E A092370 Definition corrected by _Harvey P. Dale_, Dec 29 2021