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A094166 Array read by antidiagonals: T(n,k) = number of rooted 2-dimensional polyominoes with k cells, the cells being regular n-gons, with no symmetries removed.

%I A094166 #18 Dec 23 2019 23:42:34
%S A094166 1,1,3,1,4,9,1,5,18,28,1,6,30,76,90,1,7,33,180,315,282,1,8,42,176,
%T A094166 1075,1296,875,1,9,60,252,930,6366,5320,2700,1,10,81,440,1505,4884,
%U A094166 37520,21800,8271,1,11,105,732,3230,8946,25564,220500,89190,25265
%N A094166 Array read by antidiagonals: T(n,k) = number of rooted 2-dimensional polyominoes with k cells, the cells being regular n-gons, with no symmetries removed.
%D A094166 Dan Hoey, Bill Gosper and Richard C. Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.
%H A094166 R. C. Schroeppel, <a href="http://www.experimentalmath.info/workshop2004/schroeppel-talk.pdf">A few mathematical experiments</a> [Broken link?]
%H A094166 R. C. Schroeppel, <a href="http://www.plouffe.fr/OEIS/citations/schroeppel-talk.pdf">A few mathematical experiments</a>
%H A094166 R. C. Schroeppel, <a href="/A094166/a094166.pdf">A few mathematical experiments</a> [Cached copy - permission requested]
%e A094166 Array begins:
%e A094166 1 3 9 28 90 282 875 2700 8271 25265 ...
%e A094166 1 4 18 76 315 1296 5320 21800 89190 364460 ...
%e A094166 1 5 30 180 1075 6366 37520 220500 1293615 7581240 ...
%e A094166 1 6 33 176 930 4884 25564 133512 696231 3626710 ...
%e A094166 1 7 42 252 1505 8946 53165 315980 1878597 11171930 ...
%e A094166 1 8 60 440 3230 23688 173796 1275240 9359748 68708320 ...
%e A094166 1 9 81 732 6660 60534 549801 4991436 45301356 411062595 ...
%e A094166 1 10 105 1080 11060 112932 1151430 11728960 119405565 1215105280 ...
%e A094166 1 11 132 1584 18920 225258 2677675 31805400 377611443 4481810410 ...
%e A094166 1 12 138 1564 17655 198936 2239860 25209144 283667850 3191677980 ...
%e A094166 1 13 156 1872 22425 268398 3212391 38454000 460400148 5513163565 ...
%e A094166 1 14 189 2520 33530 445788 5925976 78775480 1047251079 13923394730 ...
%Y A094166 Rows give A094164, A048664, A051738, A094165, A094168, A094169.
%K A094166 nonn,tabl,easy
%O A094166 1,3
%A A094166 _N. J. A. Sloane_, May 06 2004
%E A094166 More terms from _Joshua Zucker_, May 20 2006