cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A361428 Maximum difficulty level (see A361424 for the definition) for tiling an n X 4 rectangle with a set of integer-sided rectangles, rounded down to the nearest integer.

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%I A361428 #5 Mar 13 2023 13:31:07
%S A361428 4,12,48,80,480,2880,13440,53760,107520,322560,725760
%N A361428 Maximum difficulty level (see A361424 for the definition) for tiling an n X 4 rectangle with a set of integer-sided rectangles, rounded down to the nearest integer.
%C A361428 For all currently known terms, the maximum difficulty level is an integer.
%e A361428 The following table shows all sets of pieces that give the maximum (n,4)-tiling difficulty level up to n = 11.
%e A361428     \                       Number of pieces of size
%e A361428    n \  1X1 | 1X2 | 1X3 | 1X4 | 1X5 | 1X6 | 1X7 | 1X8 | 1X10| 2X2 | 2X3 | 2X4
%e A361428   ----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
%e A361428    1  |  0  |  2  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    2  |  0  |  2  |  0  |  1  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    2  |  0  |  1  |  2  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    3  |  0  |  1  |  2  |  1  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    4  |  0  |  1  |  2  |  2  |  0  |  0  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    5  |  0  |  1  |  3  |  1  |  1  |  0  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    6  |  0  |  1  |  1  |  1  |  1  |  1  |  0  |  0  |  0  |  1  |  0  |  0
%e A361428    6  |  0  |  0  |  2  |  2  |  2  |  0  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    7  |  0  |  3  |  0  |  0  |  2  |  1  |  0  |  0  |  0  |  0  |  1  |  0
%e A361428    7  |  0  |  0  |  3  |  2  |  1  |  1  |  0  |  0  |  0  |  0  |  0  |  0
%e A361428    8  |  0  |  3  |  0  |  0  |  1  |  1  |  1  |  0  |  0  |  2  |  0  |  0
%e A361428    9  |  0  |  3  |  0  |  0  |  1  |  0  |  1  |  1  |  0  |  1  |  1  |  0
%e A361428    9  |  0  |  3  |  0  |  0  |  0  |  2  |  0  |  1  |  0  |  1  |  1  |  0
%e A361428    9  |  0  |  0  |  3  |  1  |  2  |  1  |  1  |  0  |  0  |  0  |  0  |  0
%e A361428   10  |  0  |  2  |  0  |  0  |  1  |  1  |  1  |  0  |  0  |  1  |  1  |  1
%e A361428   11  |  1  |  2  |  0  |  0  |  0  |  0  |  1  |  2  |  0  |  1  |  2  |  0
%e A361428   11  |  1  |  1  |  0  |  0  |  1  |  2  |  0  |  0  |  1  |  2  |  1  |  0
%Y A361428 Fourth column of A361424.
%Y A361428 Cf. A361220.
%K A361428 nonn,more
%O A361428 1,1
%A A361428 _Pontus von Brömssen_, Mar 11 2023