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A321789 Factorials of terms of Pascal's triangle by row.

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%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