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 A361219 Maximum number of ways in which a set of integer-sided rectangular pieces can tile an n X 3 rectangle. 4
 2, 11, 56, 370, 2666, 19126, 134902, 1026667, 8049132, 60996816, 450456500, 3427769018, 27127841200, 211563038980, 1837421211974, 15474223886906 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Tilings that are rotations or reflections of each other are considered distinct. LINKS Table of n, a(n) for n=1..16. EXAMPLE The following table shows the sets of pieces that give the maximum number of tilings for n <= 16. All these sets are unique. \ Number of pieces of size n \ 1 X 1 | 1 X 2 | 1 X 3 | 1 X 4 ----+-------+-------+-------+------ 1 | 1 | 1 | 0 | 0 2 | 2 | 2 | 0 | 0 3 | 3 | 3 | 0 | 0 4 | 3 | 3 | 1 | 0 5 | 4 | 4 | 1 | 0 6 | 7 | 4 | 1 | 0 7 | 8 | 5 | 1 | 0 8 | 8 | 5 | 2 | 0 9 | 9 | 6 | 2 | 0 10 | 10 | 7 | 2 | 0 11 | 11 | 8 | 2 | 0 12 | 11 | 8 | 3 | 0 13 | 12 | 9 | 3 | 0 14 | 13 | 8 | 3 | 1 15 | 14 | 9 | 3 | 1 16 | 15 | 10 | 3 | 1 CROSSREFS Third column of A361216. Cf. A360632, A361225. Sequence in context: A198769 A037554 A106804 * A213098 A041129 A332524 Adjacent sequences: A361216 A361217 A361218 * A361220 A361221 A361222 KEYWORD nonn,more AUTHOR Pontus von Brömssen, Mar 05 2023 STATUS approved

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Last modified February 23 18:28 EST 2024. Contains 370283 sequences. (Running on oeis4.)