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

1,5

Links

Table of n, a(n) for n=1..36.

Example

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).

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

Mathematica

Flatten[Table[Binomial[n, k]!, {n, 0, 6}, {k, 0, n}]] (* Amiram Eldar, Nov 19 2018 *)

Prog

(GAP) Flat(List([0..7], n->List([0..n], k->Factorial(Binomial(n, k))))); # Muniru A Asiru, Dec 20 2018

Crossrefs

Cf. A007318, A000142.

Sequence in context: A155795 A009963 A008300 * A173887 A288025 A137376

Adjacent sequences: A321786 A321787 A321788 * A321790 A321791 A321792

Keyword

nonn,tabl

Author

Kei Ryan, Nov 19 2018

Status

approved