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Triangular array, read by rows: T(n,k) = denominator of binomial(n-1, n-k)/k!, 1 <= k <= n.
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%I #19 Nov 28 2018 08:49:05

%S 1,1,2,1,1,6,1,2,2,24,1,1,1,6,120,1,2,3,12,24,720,1,1,2,6,8,120,5040,

%T 1,2,2,24,24,240,720,40320,1,1,3,3,12,90,180,5040,362880,1,2,1,2,20,

%U 40,60,1120,40320,3628800,1,1,2,1,4,20,24,336,8064,362880,39916800

%N Triangular array, read by rows: T(n,k) = denominator of binomial(n-1, n-k)/k!, 1 <= k <= n.

%H Seiichi Manyama, <a href="/A322128/b322128.txt">Rows n = 1..140, flattened</a>

%e See A322127.

%t T[n_, k_] := Denominator[Binomial[n-1, n-k]/k!]; Table[T[n, k], {n,1,10}, {k,1,n}] // Flatten (* _Amiram Eldar_, Nov 27 2018 *)

%Y Cf. A007318, A322093, A322127.

%K nonn,frac,tabl

%O 1,3

%A _Seiichi Manyama_, Nov 27 2018