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Triangle T(n,k) = coefficient of x^n*y^k in 1/(1-x*y-x*y^2-x^2*y^3), read by rows in order 00, 10, 01, 20, 11, 02, ...
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%I #7 Jun 29 2017 08:01:24

%S 1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,1,0,0,0,0,0,0,5,0,

%T 0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,7,1,0,0,0,0,0,0,0,0,1,13,0,0,0,0,0,0,

%U 0,0,0,0,9,7,0,0,0,0,0,0,0,0,0,0,1,25,1,0,0,0,0,0,0

%N Triangle T(n,k) = coefficient of x^n*y^k in 1/(1-x*y-x*y^2-x^2*y^3), read by rows in order 00, 10, 01, 20, 11, 02, ...

%H R. C. Read, <a href="http://cms.math.ca/cjm/v14/cjm1962v14.0001-0020.pdf">Contributions to the cell growth problem</a>, Canad. J. Math., 14 (1962), 1-20.

%p read transforms; 1/(1-x*y-x*y^2-x^2*y^3); SERIES2(%,x,y,12): SERIES2TOLIST(%,x,y,12);

%Y Row sums: A079973.

%K nonn,tabl,easy

%O 0,19

%A _N. J. A. Sloane_, Feb 04 2001