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%I #11 Jul 19 2022 18:22:40
%S 1,2,2,6,6,6,24,24,24,24,120,120,120,120,120,720,720,720,720,720,720,
%T 5040,5040,5040,5040,5040,5040,5040,40320,40320,40320,40320,40320,
%U 40320,40320,40320,362880,362880,362880,362880,362880,362880,362880,362880,362880
%N Triangle read by rows in which row n contains n! repeated n times.
%C Row sums = A001563: (1, 4, 18, 96, 600, 4320, ...). A130477(n,k) * A130478(n,k) = A130493(n,k). Example: take dot products of rows with equal numbers of terms in A130477 and A130478, (1, 3, 8, 12) dot (24, 8, 3, 2) = (24, 24, 24, 24).
%F Triangle, n! repeated n times per row.
%e First few rows of the triangle:
%e 1;
%e 2, 2;
%e 6, 6, 6;
%e 24, 24, 24, 24;
%e ...
%t Flatten[Table[Table[n!,{n}],{n,10}]] (* _Harvey P. Dale_, Dec 24 2014 *)
%t Table[PadRight[{},n,n!],{n,10}]//Flatten (* _Harvey P. Dale_, Jul 04 2022 *)
%Y Cf. A001563, A130477, A130478.
%K nonn,tabl
%O 1,2
%A _Gary W. Adamson_, May 31 2007
%E More terms from _Sean A. Irvine_, Jul 19 2022
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