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.

A304195 Number of fully-leafed free tree-like polyominoes of size n.

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%I A304195 #24 Jun 02 2018 13:08:45
%S A304195 1,1,2,1,1,2,12,3,1,6,74,11,2,21,408,40,4,76,2053,148,11,279
%N A304195 Number of fully-leafed free tree-like polyominoes of size n.
%C A304195 A free tree-like polyomino of size n is a connected set of n cells in the square lattice, up to translation, rotation and reflection, whose dual graph has no cycles. It is called fully-leafed when it has the maximal number of leaves over all the same sized free tree-like polyominoes.
%H A304195 Alexandre Blondin Massé, Julien de Carufel, Alain Goupil, and Maxime Samson. <a href="https://doi.org/10.1007/978-3-319-78825-8_17">Fully-leafed tree-like polyominoes and polycubes</a>. In Combinatorial algorithms, volume 10765 of Lecture Notes of Computer Science, 28th International workshop, IWOCA 2017, Newcastle, NSW, Australia, Springer, 2018.
%e A304195 a(5) = 1:
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%e A304195 . ###
%e A304195 .  #
%e A304195 a(6) = 2:
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%e A304195 .  #   .   #
%e A304195 a(7) = 12:
%e A304195 . # # . # #  .  # #  .    #  .  #    .   #
%e A304195 . ### . #### . ##### . ##### . ##### . #####
%e A304195 . # # . #    .       .  #    .  #    .  #
%e A304195 .
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%e A304195 .      .      .  #   .  #   .   #  .
%Y A304195 Cf. A131482 (free tree-like polyominoes), A304197, A304199 (fully-leafed free tree-like polycubes in 3 and 4 dimensions resp.).
%K A304195 nonn,more
%O A304195 1,3
%A A304195 _Lotfi Bouallagui_, May 07 2018