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A059446 Triangle T(n,k) = coefficient of x^n*y^k/(n!*k!) in 1/(1-x-y-x*y), read by rows in order 00, 10, 01, 20, 11, 02, ... +0
2
1, 1, 1, 2, 3, 2, 6, 10, 10, 6, 24, 42, 52, 42, 24, 120, 216, 300, 300, 216, 120, 720, 1320, 1968, 2268, 1968, 1320, 720, 5040, 9360, 14640, 18576, 18576, 14640, 9360, 5040, 40320, 75600, 122400, 166320, 184896, 166320, 122400, 75600 (list; table; graph; listen)
OFFSET

0,4

FORMULA

E.g.f.: 1/(1-x-y-x*y).

EXAMPLE

1; 1,1; 2,3,2; 6,10,10,6; ...

MAPLE

read transforms; SERIES2(1/(1-x-y-x*y), x, y, 12): SERIES2TOLISTMULT(%, x, y, 12);

CROSSREFS

Cf. A008288.

Sequence in context: A025502 A110777 A087454 this_sequence A143806 A109878 A104565

Adjacent sequences: A059443 A059444 A059445 this_sequence A059447 A059448 A059449

KEYWORD

nonn,tabl,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 02 2001

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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