A144626 - OEIS

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

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OFFSET

0,6

COMMENTS

The slice sums are given by A144416.

LINKS

Table of n, a(n) for n=0..55.

EXAMPLE

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.

Sequence in context: A202869 A202871 A368224 * A033707 A178043 A049925

Adjacent sequences: A144623 A144624 A144625 * A144627 A144628 A144629

KEYWORD

nonn,tabf

AUTHOR

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

STATUS

approved