A165969 - OEIS

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

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The second array mentioned in the comment in A129326.

LINKS

Table of n, a(n) for n=1..45.

EXAMPLE

Triangle begins

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;

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

CROSSREFS

Cf. A077012, A079210.

Sequence in context: A078355 A107823 A139815 * A098373 A054793 A063709

Adjacent sequences: A165966 A165967 A165968 * A165970 A165971 A165972

KEYWORD

nonn,tabl,easy

AUTHOR

Paul Curtz, Oct 02 2009

STATUS

approved