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 A361218 Maximum number of ways in which a set of integer-sided rectangular pieces can tile an n X 2 rectangle. 3
 1, 4, 11, 29, 94, 263, 968, 3416, 11520, 41912, 136972, 481388, 1743784, 6275886, 23615432, 93819128, 368019576, 1367900808, 5403282616, 19831367476, 76031433360, 300581321056, 1143307393600, 4542840116352, 17001097572544, 65314285778004, 246695766031432 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Tilings that are rotations or reflections of each other are considered distinct. LINKS Table of n, a(n) for n=1..27. EXAMPLE The following table shows the sets of pieces that give the maximum number of tilings for n <= 27. The solutions are unique except for n = 1. \ Number of pieces of size n \ 1 X 1 | 1 X 2 | 1 X 3 | 1 X 4 ----+-------+-------+-------+------ 1 | 2 | 0 | 0 | 0 1 | 0 | 1 | 0 | 0 2 | 2 | 1 | 0 | 0 3 | 2 | 2 | 0 | 0 4 | 4 | 2 | 0 | 0 5 | 4 | 3 | 0 | 0 6 | 4 | 4 | 0 | 0 7 | 5 | 3 | 1 | 0 8 | 5 | 4 | 1 | 0 9 | 7 | 4 | 1 | 0 10 | 7 | 5 | 1 | 0 11 | 7 | 6 | 1 | 0 12 | 9 | 6 | 1 | 0 13 | 8 | 6 | 2 | 0 14 | 10 | 6 | 2 | 0 15 | 10 | 7 | 2 | 0 16 | 10 | 6 | 2 | 1 17 | 10 | 7 | 2 | 1 18 | 12 | 7 | 2 | 1 19 | 12 | 8 | 2 | 1 20 | 12 | 9 | 2 | 1 21 | 13 | 8 | 3 | 1 22 | 13 | 9 | 3 | 1 23 | 15 | 9 | 3 | 1 24 | 15 | 10 | 3 | 1 25 | 15 | 11 | 3 | 1 26 | 17 | 11 | 3 | 1 27 | 17 | 12 | 3 | 1 CROSSREFS Second column of A361216. Cf. A360631, A361224. Sequence in context: A369844 A351438 A110579 * A024829 A296290 A224215 Adjacent sequences: A361215 A361216 A361217 * A361219 A361220 A361221 KEYWORD nonn AUTHOR Pontus von Brömssen, Mar 05 2023 STATUS approved

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Last modified April 15 00:51 EDT 2024. Contains 371667 sequences. (Running on oeis4.)