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 A226981 Number of ways to cut an n X n square into squares with integer sides, reduced for symmetry, where the orbits under the symmetry group of the square, D4, have 8 elements. 5
 0, 0, 0, 1, 45, 1194, 55777, 4471175, 669049507, 187616301623, 98793450008033, 97702667035688951 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Christopher Hunt Gribble, C++ program for A226978, A226979, A226980, A226981, A227004 Ed Wynn, Exhaustive generation of Mrs Perkins's quilt square dissections for low orders, arXiv:1308.5420 FORMULA A226978(n) + A226979(n) + A226980(n) + A226981(n) = A224239(n). 1*A226978(n) + 2*A226979(n) + 4*A226980(n) + 8*A226981(n) = A045846(n). EXAMPLE For n=5, there are 45 dissections where the orbits under the symmetry group of the square, D4, have 8 elements. For n=4, this is the only dissection: --------- |   | | | |   ----- |   |   | -----   | | | |   | --------- | | | | | --------- CROSSREFS Cf. A045846, A034295, A219924, A224239, A226978, A226979, A226980. Sequence in context: A320822 A229796 A143400 * A173000 A004350 A199518 Adjacent sequences:  A226978 A226979 A226980 * A226982 A226983 A226984 KEYWORD nonn,more AUTHOR Christopher Hunt Gribble, Jun 25 2013 EXTENSIONS a(8)-a(12) from Ed Wynn, Apr 02 2014 STATUS approved

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Last modified August 13 04:54 EDT 2020. Contains 336442 sequences. (Running on oeis4.)