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A144626
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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.
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2
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| The slice sums are given by A144416.
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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
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....................1
...................1.1
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....................10
...................4.10
..................1.3..3
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...................280
..................70.280
................10.60.105
...............1..6.15..15
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..................15400
................2800.15400
...............280.2520.6300
.............20..210.840.1260
............1..10..45..105.105
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.................1401400
.............200200.1401400
.........15400.184800...600600
......840..12600..69300...138600
...35....560....3780....12600...17325
1......15....105....420......945.....945
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CROSSREFS
| Cf. A144416, A144625, A144385.
Sequence in context: A115284 A202869 A202871 * A033707 A178043 A049925
Adjacent sequences: A144623 A144624 A144625 * A144627 A144628 A144629
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KEYWORD
| nonn,tabf
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 18 2009, Jan 19 2009
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