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.

A377155 Number of 3-dimensional polyominoes (or polycubes) with n cells and rotational symmetry group of order exactly 12.

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%I A377155 #14 Oct 18 2024 11:42:09
%S A377155 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,1,3,4,0,8,
%T A377155 4,3,8,3,2,17,6,8,19,27,2,53,19,26,49,19,10,127,38,64,121,166,15,373,
%U A377155 111,197,306,150,67,923,242,460,771,1100,115,2665,686,1405,1972,1085,431,6681,1562,3335,5051,7353
%N A377155 Number of 3-dimensional polyominoes (or polycubes) with n cells and rotational symmetry group of order exactly 12.
%C A377155 The sequence counts "one-sided" polycubes (A000162); chiral polycubes count twice.
%H A377155 W. F. Lunnon, <a href="https://doi.org/10.1016/B978-1-4832-3187-7.50014-3">Symmetry of cubical and general polyominoes</a>, pp. 101-108 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.
%F A377155 a(n) = 2*BD(n)+CCC(n)+DEE(n) = 2*A377128(n)+A377129(n)+A377130(n); see Lunnon paper for naming convention.
%Y A377155 Cf. A000162, A066273, A066281, A066283, A066287, A066288, A066453, A066454, A377128, A377129, A377130.
%K A377155 nonn
%O A377155 1,28
%A A377155 _John Mason_, Oct 18 2024