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 A321789 #17 Jan 27 2019 09:37:27 %S A321789 1,1,1,1,2,1,1,6,6,1,1,24,720,24,1,1,120,3628800,3628800,120,1,1,720, %T A321789 1307674368000,2432902008176640000,1307674368000,720,1,1,5040, %U A321789 51090942171709440000,10333147966386144929666651337523200000000,10333147966386144929666651337523200000000,51090942171709440000,5040,1 %N A321789 Factorials of terms of Pascal's triangle by row. %e A321789 The 12th term is 24 because the 12th term of Pascal's triangle by row is 4 and 4! is 24 (4*3*2*1). %p A321789 T:=(n,k)->factorial(binomial(n,k)): seq(seq(T(n,k),k=0..n),n=0..7); # _Muniru A Asiru_, Dec 20 2018 %t A321789 Flatten[Table[Binomial[n, k]!, {n, 0, 6}, {k, 0, n}]] (* _Amiram Eldar_, Nov 19 2018 *) %o A321789 (GAP) Flat(List([0..7],n->List([0..n],k->Factorial(Binomial(n,k))))); # _Muniru A Asiru_, Dec 20 2018 %Y A321789 Cf. A007318, A000142. %K A321789 nonn,tabl %O A321789 1,5 %A A321789 _Kei Ryan_, Nov 19 2018