A144626 - OEIS

%I #2 Mar 30 2012 16:51:00

%S 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,

%T 20,210,840,1260,280,2520,6300,2800,15400,15400,1,15,105,420,945,945,

%U 35,560,3780,12600,17325,840,12600,69300,138600,15400,184800,600600,200200,1401400,1401400

%N 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.

%C The slice sums are given by A144416.

%e The n-th slice of the tetrahedrom consists of the terms T(i,j,k) with i+j+k = n.

%e Slices 0,1,2,3,4,5 are:

%e ....................1

%e ------------------

%e ....................1

%e ...................1.1

%e ------------------

%e ....................10

%e ...................4.10

%e ..................1.3..3

%e ------------------

%e ...................280

%e ..................70.280

%e ................10.60.105

%e ...............1..6.15..15

%e ------------------

%e ..................15400

%e ................2800.15400

%e ...............280.2520.6300

%e .............20..210.840.1260

%e ............1..10..45..105.105

%e ------------------

%e .................1401400

%e .............200200.1401400

%e .........15400.184800...600600

%e ......840..12600..69300...138600

%e ...35....560....3780....12600...17325

%e 1......15....105....420......945.....945

%Y Cf. A144416, A144625, A144385.

%K nonn,tabf

%O 0,6

%A _N. J. A. Sloane_, Jan 18 2009, Jan 19 2009