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 A206453 #13 Jun 30 2021 12:28:08
%S A206453 7,49,343,2401,16807,117649,823542,5764787,40353460,282473877,
%T A206453 1977314738,13841186359,96888186864,678216484506,4747509626755,
%U A206453 33232527033825,232627406762898,1628389870025548,11398715248992477,79790909854760475
%N A206453 Number of 0..6 arrays of length n avoiding the consecutive pattern 0..6.
%C A206453 Column 6 of A206455.
%H A206453 R. H. Hardin, <a href="/A206453/b206453.txt">Table of n, a(n) for n = 1..210</a>
%H A206453 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,0,0,0,0,0,-1).
%F A206453 a(n) = 7*a(n-1) - a(n-7).
%F A206453 Empirical: a(n) = Sum_{i=0..floor(n/7)} ((-1)^i*7^(n-7*i)*binomial(n-6*i,i)).
%F A206453 g.f.: x*(7 - x^6) / (1 - 7*x + x^7). - _Colin Barker_, Jun 16 2018
%Y A206453 Cf. A206455.
%K A206453 nonn
%O A206453 1,1
%A A206453 _R. H. Hardin_, Feb 07 2012