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Triangle read by rows: T(n,m) = A094310(n,m)*A120070(n+1,m), 1 <= m <= n.
1

%I #10 Jan 12 2019 20:45:04

%S 3,16,5,90,36,14,576,252,128,54,4200,1920,1080,600,264,34560,16200,

%T 9600,5940,3456,1560,317520,151200,92400,60480,39312,23520,10800,

%U 3225600,1552320,967680,655200,451584,302400,184320,85680,35925120,17418240,11007360,7620480,5443200,3870720,2643840,1632960,766080

%N Triangle read by rows: T(n,m) = A094310(n,m)*A120070(n+1,m), 1 <= m <= n.

%C The second array mentioned in the comment in A129326.

%e Triangle begins

%e 3;

%e 16, 5;

%e 90, 36, 14;

%e 576, 252, 128, 54;

%e 4200, 1920, 1080, 600, 264;

%e 34560, 16200, 9600, 5940, 3456, 1560;

%e 317520, 151200, 92400, 60480, 39312, 23520, 10800;

%e 3225600, 1552320, 967680, 655200, 451584, 302400, 184320, 85680;

%p A120070 := proc(n, m) n^2-m^2 ; end proc:

%p A094310 := proc(n,m) n!/m ; end proc:

%p A165969 := proc(n,m) A094310(n,m)*A120070(n+1,m) ; end proc: # _R. J. Mathar_, Jan 23 2011

%Y Cf. A077012, A079210.

%K nonn,tabl,easy

%O 1,1

%A _Paul Curtz_, Oct 02 2009