A165969 Triangle read by rows: T(n,m) = A094310(n,m)*A120070(n+1,m), 1 <= m <= n.

3, 16, 5, 90, 36, 14, 576, 252, 128, 54, 4200, 1920, 1080, 600, 264, 34560, 16200, 9600, 5940, 3456, 1560, 317520, 151200, 92400, 60480, 39312, 23520, 10800, 3225600, 1552320, 967680, 655200, 451584, 302400, 184320, 85680, 35925120, 17418240, 11007360, 7620480, 5443200, 3870720, 2643840, 1632960, 766080

Offset: 1

Author

Paul Curtz, Oct 02 2009

Keywords

• nonn
• tabl
• easy

Comments

The second array mentioned in the comment in A129326.

Examples

			Triangle begins
        3;
       16,       5;
       90,      36,     14;
      576,     252,    128,     54;
     4200,    1920,   1080,    600,    264;
    34560,   16200,   9600,   5940,   3456,   1560;
   317520,  151200,  92400,  60480,  39312,  23520,  10800;
  3225600, 1552320, 967680, 655200, 451584, 302400, 184320, 85680;
		

Crossrefs

Cf. A077012, A079210.

Programs

Maple

A120070 := proc(n, m) n^2-m^2 ; end proc:
A094310 := proc(n,m) n!/m ; end proc:
A165969 := proc(n,m) A094310(n,m)*A120070(n+1,m) ; end proc: # R. J. Mathar, Jan 23 2011