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A166350 Triangle read by rows: T(n,m) = m!, n >= 1.

%I A166350 #20 Jan 15 2025 21:11:33
%S A166350 1,1,2,1,2,6,1,2,6,24,1,2,6,24,120,1,2,6,24,120,720,1,2,6,24,120,720,
%T A166350 5040,1,2,6,24,120,720,5040,40320,1,2,6,24,120,720,5040,40320,362880,
%U A166350 1,2,6,24,120,720,5040,40320,362880,3628800,1,2,6,24,120,720,5040,40320
%N A166350 Triangle read by rows: T(n,m) = m!, n >= 1.
%H A166350 Reinhard Zumkeller, <a href="/A166350/b166350.txt">Rows n=1..100 of triangle, flattened</a>
%H A166350 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>
%F A166350 T(n,m) = A000142(m).
%e A166350 Triangle begins:
%e A166350   1;
%e A166350   1, 2;
%e A166350   1, 2, 6;
%e A166350   1, 2, 6, 24;
%e A166350   1, 2, 6, 24, 120;
%e A166350   1, 2, 6, 24, 120, 720;
%e A166350   1, 2, 6, 24, 120, 720, 5040;
%e A166350   ...
%t A166350 Flatten[Table[Range[n]!,{n,11}]] (* _Harvey P. Dale_, Jan 06 2012 *)
%t A166350 Module[{nn=20,fs},fs=Range[nn]!;Table[Take[fs,n],{n,nn}]]//Flatten (* _Harvey P. Dale_, Jun 14 2020 *)
%o A166350 (Haskell)
%o A166350 import Data.List (inits)
%o A166350 a166350 n k = a166350_tabl !! (n-1) !! (n-1)
%o A166350 a166350_row n = a166350_tabl !! (n-1)
%o A166350 a166350_tabl = tail $ inits $ tail a000142_list
%o A166350 -- _Reinhard Zumkeller_, Nov 11 2013
%Y A166350 Cf. A000142, A002260, A094310, A077012, A079210.
%Y A166350 Cf. A014454.
%Y A166350 Row sums give A007489.
%K A166350 nonn,tabl
%O A166350 1,3
%A A166350 _Paul Curtz_, Oct 12 2009
%E A166350 Definition clarified - _R. J. Mathar_, Oct 14 2009