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Triangle T(n,k) = number of fixed 2 X n polyominoes with k cells = coefficient of x^n*y^k in (1+x*y)/(1-x*y-x*y^2-x^2*y^3)-1, read by rows in order 00, 10, 01, 20, 11, 02, ...
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%I #12 Sep 25 2022 17:49:18

%S 0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,2,1,0,0,0,0,0,0,8,0,

%T 0,0,0,0,0,0,2,6,0,0,0,0,0,0,0,0,12,1,0,0,0,0,0,0,0,0,2,18,0,0,0,0,0,

%U 0,0,0,0,0,16,8,0,0,0,0,0,0,0,0,0,0,2,38,1,0,0,0,0

%N Triangle T(n,k) = number of fixed 2 X n polyominoes with k cells = coefficient of x^n*y^k in (1+x*y)/(1-x*y-x*y^2-x^2*y^3)-1, 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.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

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

%K nonn,tabl,easy

%O 0,5

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

%E a(84)-a(86) corrected by _Sean A. Irvine_, Sep 25 2022