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 A206452 #14 Jun 30 2021 12:29:14 %S A206452 6,36,216,1296,7776,46655,279924,1679508,10076832,60459696,362750400, %T A206452 2176455745,13058454546,78349047768,470084209776,2820444798960, %U A206452 16922306043360,101531659804415,609176900371944,3654983053183896 %N A206452 Number of 0..5 arrays of length n avoiding the consecutive pattern 0..5. %C A206452 Column 5 of A206455. %H A206452 R. H. Hardin, <a href="/A206452/b206452.txt">Table of n, a(n) for n = 1..210</a> %H A206452 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,0,0,0,0,-1). %F A206452 a(n) = 6*a(n-1) - a(n-6). %F A206452 Empirical: a(n) = Sum_{i=0..floor(n/6)} ((-1)^i*6^(n-6*i)*binomial(n-5*i,i)). %F A206452 g.f.: x*(6 - x^5) / (1 - 6*x + x^6). - _Colin Barker_, Jun 16 2018 %Y A206452 Cf. A206455. %K A206452 nonn %O A206452 1,1 %A A206452 _R. H. Hardin_, Feb 07 2012