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A357013
Triangle read by rows. T(n, k) = ((2*n)! * k!) / (n + k)!.
0
1, 2, 1, 12, 4, 2, 120, 30, 12, 6, 1680, 336, 112, 48, 24, 30240, 5040, 1440, 540, 240, 120, 665280, 95040, 23760, 7920, 3168, 1440, 720, 17297280, 2162160, 480480, 144144, 52416, 21840, 10080, 5040, 518918400, 57657600, 11531520, 3144960, 1048320, 403200, 172800, 80640, 40320
OFFSET
0,2
EXAMPLE
[0] 1;
[1] 2, 1;
[2] 12, 4, 2;
[3] 120, 30, 12, 6;
[4] 1680, 336, 112, 48, 24;
[5] 30240, 5040, 1440, 540, 240, 120;
[6] 665280, 95040, 23760, 7920, 3168, 1440, 720;
[7] 17297280, 2162160, 480480, 144144, 52416, 21840, 10080, 5040;
MAPLE
T := (n, k) -> ((2*n)! * k!) / (n + k)!:
for n from 0 to 6 do seq(T(n, k), k = 0..n) od;
CROSSREFS
Cf. A001813 (column 0), A000142 (main diagonal).
Sequence in context: A286640 A288359 A107722 * A370552 A167128 A332749
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Sep 25 2022
STATUS
approved