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.

A335573 a(n) is the number of fixed polyominoes corresponding to the free polyomino represented by A246521(n).

This page as a plain text file.
%I A335573 #22 Dec 07 2023 14:53:48
%S A335573 1,1,2,4,2,8,1,4,4,2,8,4,4,8,8,8,4,4,8,4,1,2,4,8,8,8,2,8,8,8,8,8,4,8,
%T A335573 4,8,8,8,8,4,4,8,4,8,8,8,4,4,4,4,8,8,4,8,4,4,2,8,8,8,8,8,8,8,8,8,8,4,
%U A335573 4,8,2,8,8,8,8,8,4,4,8,4,8,8,8,8,8,8,8
%N A335573 a(n) is the number of fixed polyominoes corresponding to the free polyomino represented by A246521(n).
%C A335573 Each free polyomino represented by a number in A246521 may correspond to 1, 2, 4 or 8 different fixed polyominoes, generated by rotation or reflection.
%C A335573 In the sequence A246521, the size n polyominoes start at position j = 1 + Sum_{i=0..n-1} A000105(i) and end at position k = Sum_{i=0..n} A000105(i). Therefore, the number of fixed polyominoes, A001168(n), is equal to Sum_{i=j..k} a(i).
%H A335573 Pontus von Brömssen, <a href="/A335573/b335573.txt">Table of n, a(n) for n = 1..6474</a> (polyominoes with up to 10 cells).
%e A335573 The size 4 L-shaped polyomino represented by A246521(6) will generate 8 fixed polyominoes.
%Y A335573 Cf. A000105 (number of free polyominoes of size n).
%Y A335573 Cf. A001168 (number of fixed polyominoes of size n).
%Y A335573 Cf. A246521 (list of free polyominoes in binary coding).
%K A335573 nonn
%O A335573 1,3
%A A335573 _John Mason_, Jan 26 2021