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 A226979 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 2 elements. 8
 0, 0, 0, 2, 2, 24, 36, 344, 504, 7657, 11978, 289829 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Table of n, a(n) for n=1..12. 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). A226979(n) = A240120(n) + A240121(n) + A240122(n). EXAMPLE For n=5, there are 2 dissections where the orbits under the symmetry group of the square, D4, have 2 elements. For n=4, the 2 dissections can be seen in A240120 and A240121. CROSSREFS Cf. A045846, A034295, A219924, A224239, A226978, A226980, A226981, A240120, A240121, A240122. Sequence in context: A279311 A248812 A226243 * A261517 A131448 A156447 Adjacent sequences: A226976 A226977 A226978 * A226980 A226981 A226982 KEYWORD nonn,more AUTHOR Christopher Hunt Gribble, Jun 25 2013 EXTENSIONS a(8)-a(12) from Ed Wynn, Apr 01 2014 STATUS approved

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Last modified September 29 13:36 EDT 2023. Contains 365771 sequences. (Running on oeis4.)