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A321789
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Factorials of terms of Pascal's triangle by row.
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0
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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
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OFFSET
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1,5
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LINKS
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EXAMPLE
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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).
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MAPLE
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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
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Flatten[Table[Binomial[n, k]!, {n, 0, 6}, {k, 0, n}]] (* Amiram Eldar, Nov 19 2018 *)
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PROG
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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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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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