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 A206461 #7 Jul 22 2025 19:27:26 %S A206461 9,14849,1020000,48718765,2176455745,96888186864,4398044676096, %T A206461 205891128374562,9999999993000000,505447028486892844, %U A206461 26623333280864342016,1461920290375412323014,83668255425284748853824 %N A206461 Number of 0..n arrays of length n+7 avoiding the consecutive pattern 0..n. %C A206461 Subdiagonal 7 of A206455 %H A206461 R. H. Hardin, <a href="/A206461/b206461.txt">Table of n, a(n) for n = 1..210</a> %F A206461 Empirical: a(n) = sum{i in 0..floor((n+7)/(n+1))} ((-1)^i*(n+1)^((n+7) -(n+1)*i)*binomial((n+7) -n*i,i)) %K A206461 nonn %O A206461 1,1 %A A206461 _R. H. Hardin_ Feb 07 2012