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Search: id:A094166
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| A094166 |
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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. |
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+0 7
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| 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, 1075, 1296, 875, 1, 9, 60, 252, 930, 6366, 5320, 2700, 1, 10, 81, 440, 1505, 4884, 37520, 21800, 8271, 1, 11, 105, 732, 3230, 8946, 25564, 220500, 89190, 25265
(list; table; graph; listen)
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OFFSET
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1,3
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REFERENCES
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Dan Hoey, Bill Gosper and Rich Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.
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LINKS
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R. C. Schroeppel, A few mathematical experiments [Broken link?]
R. C. Schroeppel, A talk
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EXAMPLE
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Array begins:
1 3 9 28 90 282 875 2700 8271 25265 ...
1 4 18 76 315 1296 5320 21800 89190 364460 ...
1 5 30 180 1075 6366 37520 220500 1293615 7581240 ...
1 6 33 176 930 4884 25564 133512 696231 3626710 ...
1 7 42 252 1505 8946 53165 315980 1878597 11171930 ...
1 8 60 440 3230 23688 173796 1275240 9359748 68708320 ...
1 9 81 732 6660 60534 549801 4991436 45301356 411062595 ...
1 10 105 1080 11060 112932 1151430 11728960 119405565 1215105280 ...
1 11 132 1584 18920 225258 2677675 31805400 377611443 4481810410 ...
1 12 138 1564 17655 198936 2239860 25209144 283667850 3191677980 ...
1 13 156 1872 22425 268398 3212391 38454000 460400148 5513163565 ...
1 14 189 2520 33530 445788 5925976 78775480 1047251079 13923394730 ...
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CROSSREFS
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Rows give A094164, A048664, A094167, A094165, A094168, A094169.
Sequence in context: A025097 A122115 A049916 this_sequence A108621 A025116 A081720
Adjacent sequences: A094163 A094164 A094165 this_sequence A094167 A094168 A094169
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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njas, May 06 2004
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 20 2006
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