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A322127
Triangular array, read by rows: T(n,k) = numerator of binomial(n-1, n-k)/k!, 1 <= k <= n.
8
1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 5, 5, 5, 1, 1, 1, 3, 5, 5, 1, 1, 1, 1, 7, 7, 35, 7, 7, 1, 1, 1, 4, 14, 7, 7, 7, 1, 1, 1, 1, 9, 6, 7, 21, 7, 1, 1, 1, 1, 1, 5, 15, 5, 7, 7, 1, 1, 1, 1, 1, 1, 11, 55, 55, 11, 77, 11, 11, 11, 11, 1, 1, 1, 6, 11, 55, 33, 11, 11, 11, 11, 11, 1, 1, 1
OFFSET
1,8
LINKS
EXAMPLE
T(n,k) = binomial(n-1, n-k)/k!.
1/1;
1/1, 1/2;
1/1, 1/1, 1/6;
1/1, 3/2, 1/2, 1/24;
1/1, 2/1, 1/1, 1/6, 1/120;
1/1, 5/2, 5/3, 5/12, 1/24, 1/720;
1/1, 3/1, 5/2, 5/6, 1/8, 1/120, 1/5040;
1/1, 7/2, 7/2, 35/24, 7/24, 7/240, 1/720, 1/40320;
MATHEMATICA
T[n_, k_] := Numerator[Binomial[n-1, n-k]/k!]; Table[T[n, k], {n, 1, 10}, {k, 1, n}] // Flatten (* Amiram Eldar, Nov 27 2018 *)
CROSSREFS
KEYWORD
nonn,frac,tabl,look
AUTHOR
Seiichi Manyama, Nov 27 2018
STATUS
approved