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 A323352 Number of tilings of an 8 X n rectangle using 2*n copies of the disconnected shape [oo  oo]. 5
 1, 1, 1, 1, 1, 1, 5, 11, 36, 69, 112, 163, 260, 425, 897, 1845, 3910, 7524, 13683, 23675, 41741, 74882, 141758, 272059, 525251, 992342, 1841482, 3361173, 6142594, 11291891, 21037446, 39459473, 74198937, 138852912, 258417206, 478462336, 885161178, 1640011925 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 REFERENCES D. E. Knuth: The Art of Computer Programming, Volume 4, Pre-fascicle 5C, Dancing Links, 2018. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..3712 Alois P. Heinz, G.f. for A323352 D. E. Knuth, Dancing Links, 24th Annual Christmas Lecture, Stanfordonline video (2018) D. E. Knuth, Dancing Links, arXiv:cs/0011047 [cs.DS], 2000. Wikipedia, Dancing Links FORMULA G.f.: see link above. a(n) ~ c * d^n, where d = 1.860082974490657614690253062429801614977133563402428780098509287692125963... and c = 0.175453010088369049748675582204204705345337476531410983285862441563015... - Vaclav Kotesovec, Jan 15 2019 EXAMPLE a(6) = 5: .    ._._._._._._.    .___._._.___.    .___._._.___.    | | | | | | |    |___| | |___|    |___| | |___|    |_|_|_|_|_|_|    |___|_|_|___|    |___|_|_|___|    | | | | | | |    |___| | |___|    | | | | | | |    |_|_|_|_|_|_|    |___|_|_|___|    |_|_|_|_|_|_|    | | | | | | |    |___| | |___|    |___| | |___|    |_|_|_|_|_|_|    |___|_|_|___|    |___|_|_|___|    | | | | | | |    |___| | |___|    | | | | | | |    |_|_|_|_|_|_|    |___|_|_|___|    |_|_|_|_|_|_| .    ._._._._._._.    .___._._.___.    | | | | | | |    |___| | |___|    |_|_|_|_|_|_|    | | |_|_| | |    |___| | |___|    |_|_| | |_|_|    |___|_|_|___|    |___|_|_|___|    | | | | | | |    |___| | |___|    |_|_|_|_|_|_|    | | |_|_| | |    |___| | |___|    |_|_| | |_|_|    |___|_|_|___|    |___|_|_|___| . CROSSREFS Cf. A320437, A323423, A323483, A322473. Sequence in context: A164560 A054854 A188161 * A005178 A065315 A065317 Adjacent sequences:  A323349 A323350 A323351 * A323353 A323354 A323355 KEYWORD nonn,easy AUTHOR Alois P. Heinz, Jan 12 2019 STATUS approved

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Last modified June 19 13:26 EDT 2019. Contains 324222 sequences. (Running on oeis4.)