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 A320437 Number of tilings of a 12 X n rectangle using 3*n copies of the disconnected shape [o oo o]. 5
 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 4, 2, 12, 22, 26, 10, 58, 218, 314, 218, 726, 2286, 3434, 2678, 9766, 30962, 45680, 40640, 148162, 468338, 689264, 683498, 2518026, 7794088, 11554876, 12462092, 45335614, 137227934, 206599268, 239436918, 843541244 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 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..3000 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 a(n) > 0 for n >= 11. a(n) == 0 (mod 2) for n >= 1. EXAMPLE a(7) = 2: .            1234567     1234567         +-----------+-----------+      1  :  ABAACAD  :  DACAABA  :      2  :  EFGFFHF  :  FHFFGFE  :      3  :  IBIICID  :  DICIIBI  :      4  :  EBGJCHD  :  DHCJGBE  :      5  :  EKGKKHK  :  KHKKGKE  :      6  :  LBMJCND  :  DNCJMBL  :      7  :  EOGJPHQ  :  QHPJGOE  :      8  :  LRMRRNR  :  RNRRMRL  :      9  :  LOMJPNQ  :  QNPJMOL  :     10  :  SOSSPSQ  :  QSPSSOS  :     11  :  LTMTTNT  :  TNTTMTL  :     12  :  UOUUPUQ  :  QUPUUOU  : . CROSSREFS Cf. A323352, A323423, A323483, A322473. Sequence in context: A228616 A151670 A153587 * A059286 A076998 A173956 Adjacent sequences:  A320434 A320435 A320436 * A320438 A320439 A320440 KEYWORD nonn AUTHOR Alois P. Heinz, Jan 08 2019 STATUS approved

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Last modified January 26 05:40 EST 2020. Contains 331273 sequences. (Running on oeis4.)