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%I #14 Jul 09 2023 18:27:59
%S 1,1,2,2,6,12,6,24,48,24,72,24,120,240,240,360,360,480,120,720,1440,
%T 1440,720,2160,4320,720,2880,4320,3600,720,5040,10080,10080,10080,
%U 15120,30240,15120,15120,20160,60480,20160,25200,50400,30240,5040,40320,80640,80640,80640,40320,120960
%N Multiply, cell by cell, sequence A048996 by A178801.
%F T(n,k) = A048996(n,k) * A178801(n,k) = A048996(n,k) * n!.
%e A048996 begins 1,1,1,1,1,2,1, 1, 2, 1, 3, 1 ...
%e A178801 begins 1,1,2,2,6,6,6,24,24,24,24,24,...
%e therefore
%e a(n) begins 1,1,2,2,6,12,6,...
%e with row sums 1, 1, 4, 24, 192, 1920, 23040, ... .
%e Triangle begins:
%e 1;
%e 1;
%e 2, 2;
%e 6, 12, 6;
%e 24, 48, 24, 72, 24;
%e 120, 240, 240, 360, 360, 480, 120;
%e 720, 1440, 1440, 720, 2160, 4320, 720, 2880, 4320, 3600, 720;
%e ...
%Y Cf. A000041, A000142, A048996, A178801, A002866 (row sums).
%K easy,nonn,tabf
%O 0,3
%A _Alford Arnold_, Jun 15 2010