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 A323423 Number of tilings of a 12 X n rectangle using 2*n copies of the disconnected shape [ooo___ooo]. 5
 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 13, 22, 64, 114, 172, 242, 320, 406, 561, 811, 1188, 2204, 4093, 7181, 13185, 22687, 36597, 56934, 85897, 126485, 189500, 290730, 453035, 739070, 1234480, 2061104, 3452517, 5710991, 9253861, 14755851, 23232374, 36208272, 56484574 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,10 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..4893 D. E. Knuth, Dancing Links, 24th Annual Christmas Lecture, Stanfordonline video (2018) D. E. Knuth, Dancing Links, arXiv:cs/0011047 [cs.DS], 2000. Vaclav Kotesovec, G.f. for A323423 Wikipedia, Dancing Links FORMULA a(n) ~ c * d^n, where d = 1.6015104441944202301254108408823287548000767754983674455370068394906003425... and c = 0.146413500304969675060082381912654288970333957537812034040245936... - Vaclav Kotesovec, Jan 15 2019 EXAMPLE a(9) = 6: . ._._._._._._._._._. ._____._._._._____. ._._._._._._._._._. | | | | | | | | | | |_____| | | |_____| | | | | | | | | | | | | | | | | | | | | |_____| | | |_____| | | | | | | | | | | |_|_|_|_|_|_|_|_|_| |_____|_|_|_|_____| |_|_|_|_|_|_|_|_|_| | | | | | | | | | | |_____| | | |_____| |_____| | | |_____| | | | | | | | | | | |_____| | | |_____| |_____| | | |_____| |_|_|_|_|_|_|_|_|_| |_____|_|_|_|_____| |_____|_|_|_|_____| | | | | | | | | | | |_____| | | |_____| | | | | | | | | | | | | | | | | | | | | |_____| | | |_____| | | | | | | | | | | |_|_|_|_|_|_|_|_|_| |_____|_|_|_|_____| |_|_|_|_|_|_|_|_|_| | | | | | | | | | | |_____| | | |_____| |_____| | | |_____| | | | | | | | | | | |_____| | | |_____| |_____| | | |_____| |_|_|_|_|_|_|_|_|_| |_____|_|_|_|_____| |_____|_|_|_|_____| . ._____._._._._____. ._____._._._._____. ._____._._._._____. |_____| | | |_____| |_____| | | |_____| |_____| | | |_____| | | | | | | | | | | |_____| | | |_____| |_____| | | |_____| | | | |_|_|_| | | | | | | |_|_|_| | | | |_____|_|_|_|_____| |_|_|_| | | |_|_|_| | | | | | | | | | | | | | | | | | | | | |_____| | | |_____| |_|_|_| | | |_|_|_| | | | | | | | | | | |_____|_|_|_|_____| |_____|_|_|_|_____| |_|_|_|_|_|_|_|_|_| |_____| | | |_____| |_____| | | |_____| |_____| | | |_____| | | | | | | | | | | |_____| | | |_____| |_____| | | |_____| | | | |_|_|_| | | | | | | |_|_|_| | | | |_____|_|_|_|_____| |_|_|_| | | |_|_|_| | | | | | | | | | | | | | | | | | | | | |_____| | | |_____| |_|_|_| | | |_|_|_| | | | | | | | | | | |_____|_|_|_|_____| |_____|_|_|_|_____| |_|_|_|_|_|_|_|_|_| . CROSSREFS Cf. A320437, A323352, A323483, A322473. Sequence in context: A036707 A054311 A183452 * A236577 A356091 A359351 Adjacent sequences: A323420 A323421 A323422 * A323424 A323425 A323426 KEYWORD nonn,easy AUTHOR Alois P. Heinz, Jan 14 2019 STATUS approved

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Last modified December 3 02:05 EST 2023. Contains 367530 sequences. (Running on oeis4.)