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.

A038588 Sizes of clusters in hexagonal lattice A_2 centered at deep hole.

This page as a plain text file.
%I A038588 #11 Jul 08 2025 22:24:55
%S A038588 3,6,12,18,21,27,30,36,42,48,54,63,69,75,78,84,90,96,102,114,120,123,
%T A038588 129,135,141,144,150,156,168,174,180,186,192,198,207,213,219,225,231,
%U A038588 240,246,252,258,270,276,282
%N A038588 Sizes of clusters in hexagonal lattice A_2 centered at deep hole.
%C A038588 The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
%H A038588 G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/A2.html">Home page for hexagonal (or triangular) lattice A2</a>
%F A038588 unique(A038587).
%t A038588 CoefficientList[3 QPochhammer[q^3]^3 / QPochhammer[q] + O[q]^100, q] //
%t A038588 Accumulate // DeleteDuplicates (* _Jean-François Alcover_, Jul 05 2019 *)
%Y A038588 Cf. A005882, A038587.
%K A038588 nonn
%O A038588 0,1
%A A038588 _N. J. A. Sloane_