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 A336785 Consider the rectangular regions in the Even Conant Lattice; let S(0) be the singleton with the square at the origin, and for any n >= 0, let S(n+1) be the set of rectangular regions adjacent to some region in S(n) that are not found in S(0) U ... U S(n); a(n) is the number of regions in S(n). 1
 1, 2, 3, 4, 8, 7, 10, 15, 13, 18, 18, 29, 22, 31, 29, 35, 36, 42, 53, 52, 55, 68, 82, 66, 87, 80, 87, 116, 124, 104, 124, 100, 132, 142, 160, 166, 161, 190, 173, 182, 237, 244, 289, 312, 331, 265, 259, 269, 265, 330, 386, 495, 565, 542, 449, 381, 436, 465, 486 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS See A328078 for more information. Two regions are considered adjacent if they share a common edge portion of size >= 1. This is the coordination series (with respect to the point at the origin) for the dual graph to the graph of the Even Conant Lattice. - N. J. A. Sloane, Sep 20 2020 LINKS Rémy Sigrist, Table of n, a(n) for n = 0..338 Rémy Sigrist, Illustration of initial terms Rémy Sigrist, C++ program for A336785 EXAMPLE See Illustration in Links section. PROG (C++) See Links section. CROSSREFS Cf. A328078, A337642. Sequence in context: A210750 A036712 A036706 * A080739 A242065 A056424 Adjacent sequences: A336782 A336783 A336784 * A336786 A336787 A336788 KEYWORD nonn AUTHOR Rémy Sigrist, Sep 20 2020 STATUS approved

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Last modified November 29 14:48 EST 2022. Contains 358431 sequences. (Running on oeis4.)