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 A206458 #7 Jul 22 2025 19:27:12
%S A206458 6,622,16128,390125,10076832,282473877,8589932544,282429533565,
%T A206458 9999999996000,379749833577917,15407021574579456,665416609183171053,
%U A206458 30491346729331184928,1477891880035400377125,75557863725914323402752
%N A206458 Number of 0..n arrays of length n+4 avoiding the consecutive pattern 0..n.
%C A206458 Subdiagonal 4 of A206455
%H A206458 R. H. Hardin, <a href="/A206458/b206458.txt">Table of n, a(n) for n = 1..210</a>
%F A206458 Empirical: a(n) = sum{i in 0..floor((n+4)/(n+1))} ((-1)^i*(n+1)^((n+4) -(n+1)*i)*binomial((n+4) -n*i,i))
%K A206458 nonn
%O A206458 1,1
%A A206458 _R. H. Hardin_ Feb 07 2012