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A371767
Triangle read by rows: T(n, k) = (k! * n!)/(n - k)!.
2
1, 1, 1, 1, 2, 4, 1, 3, 12, 36, 1, 4, 24, 144, 576, 1, 5, 40, 360, 2880, 14400, 1, 6, 60, 720, 8640, 86400, 518400, 1, 7, 84, 1260, 20160, 302400, 3628800, 25401600, 1, 8, 112, 2016, 40320, 806400, 14515200, 203212800, 1625702400
OFFSET
0,5
EXAMPLE
Triangle starts:
[0] 1;
[1] 1, 1;
[2] 1, 2, 4;
[3] 1, 3, 12, 36;
[4] 1, 4, 24, 144, 576;
[5] 1, 5, 40, 360, 2880, 14400;
[6] 1, 6, 60, 720, 8640, 86400, 518400;
[7] 1, 7, 84, 1260, 20160, 302400, 3628800, 25401600;
MAPLE
T := (n, k) -> (k! * n!)/(n - k)!:
for n from 0 to 6 do seq(T(n, k), k = 0..n) od;
CROSSREFS
Cf. A000142, A001044 (main diagonal), A010790 (subdiagonal), A046662 (row sums), A089041 (alternating row sums), A010050 (central terms).
Sequence in context: A112973 A162303 A128570 * A157284 A361523 A194733
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Apr 14 2024
STATUS
approved