A321789 Factorials of terms of Pascal's triangle by row.
1, 1, 1, 1, 2, 1, 1, 6, 6, 1, 1, 24, 720, 24, 1, 1, 120, 3628800, 3628800, 120, 1, 1, 720, 1307674368000, 2432902008176640000, 1307674368000, 720, 1, 1, 5040, 51090942171709440000, 10333147966386144929666651337523200000000, 10333147966386144929666651337523200000000, 51090942171709440000, 5040, 1
Offset: 1
Examples
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).
Programs
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GAP
Flat(List([0..7],n->List([0..n],k->Factorial(Binomial(n,k))))); # Muniru A Asiru, Dec 20 2018
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Maple
T:=(n,k)->factorial(binomial(n,k)): seq(seq(T(n,k),k=0..n),n=0..7); # Muniru A Asiru, Dec 20 2018
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Mathematica
Flatten[Table[Binomial[n, k]!, {n, 0, 6}, {k, 0, n}]] (* Amiram Eldar, Nov 19 2018 *)