A144626 Tetrahedron of numbers T(i,j,k) = (i+2*j+3*k)!/(i!*j!*k!*2^j*6^k) read with entries in the order defined in A144625.

1, 1, 1, 1, 1, 3, 3, 4, 10, 10, 1, 6, 15, 15, 10, 60, 105, 70, 280, 280, 1, 10, 45, 105, 105, 20, 210, 840, 1260, 280, 2520, 6300, 2800, 15400, 15400, 1, 15, 105, 420, 945, 945, 35, 560, 3780, 12600, 17325, 840, 12600, 69300, 138600, 15400, 184800, 600600, 200200, 1401400, 1401400

Offset: 0

Author

N. J. A. Sloane, Jan 18 2009, Jan 19 2009

Keywords

• nonn
• tabf

Comments

The slice sums are given by A144416.

Examples

			The n-th slice of the tetrahedrom consists of the terms T(i,j,k) with i+j+k = n.
Slices 0,1,2,3,4,5 are:
....................1
------------------
....................1
...................1.1
------------------
....................10
...................4.10
..................1.3..3
------------------
...................280
..................70.280
................10.60.105
...............1..6.15..15
------------------
..................15400
................2800.15400
...............280.2520.6300
.............20..210.840.1260
............1..10..45..105.105
------------------
.................1401400
.............200200.1401400
.........15400.184800...600600
......840..12600..69300...138600
...35....560....3780....12600...17325
1......15....105....420......945.....945
		

Crossrefs

Cf. A144416, A144625, A144385.