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.
%I A359263 #14 Dec 29 2022 06:37:26 %S A359263 1,3,6,7,9,12,16,18,21,30,36,42,46,54,60,70,81,90,102,117,129,136,156, %T A359263 171,184,201,216,235,255,273,292,318,339,355,384,408,435,465,492,514, %U A359263 549,579,604,642,675,709,744,780,814,852,888,928,969,1008,1048,1095 %N A359263 Number of compositions of n into three parts, using only natural numbers not in A007283. %C A359263 Strictly increasing, and hence the complement of A007283 gives a counterexample to a conjecture of Dombi (see Links) saying that a set with infinite complement cannot have its sequence of 3-compositions strictly increasing in cardinality. %C A359263 The sequence is 2-regular, and has a linear representation of size 311. %H A359263 G. Dombi, <a href="https://eudml.org/doc/278550">Additive properties of certain sets</a>, Acta Arithmetica 103 (2002), 137-146. %H A359263 Jeffrey Shallit, <a href="https://arxiv.org/abs/2212.12473">Counterexample to a Conjecture of Dombi in Additive Number Theory</a>, arXiv:2212.12473 [math.NT], 2022. %e A359263 For n=3 the 7 compositions are (1,1,1) and the six permutations of (0,1,2). %Y A359263 Cf. A007283. %K A359263 nonn %O A359263 0,2 %A A359263 _Jeffrey Shallit_, Dec 23 2022