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 A206459 #7 Jul 22 2025 19:27:19 %S A206459 7,1791,64257,1950000,60459696,1977314738,68719456256,2541865795524, %T A206459 99999999950000,4177248169342446,184884258894932736, %U A206459 8650415919381195128,426878854210636550576,22168378200531005606250,1208925819614629174378496 %N A206459 Number of 0..n arrays of length n+5 avoiding the consecutive pattern 0..n. %C A206459 Subdiagonal 5 of A206455 %H A206459 R. H. Hardin, <a href="/A206459/b206459.txt">Table of n, a(n) for n = 1..210</a> %F A206459 Empirical: a(n) = sum{i in 0..floor((n+5)/(n+1))} ((-1)^i*(n+1)^((n+5) -(n+1)*i)*binomial((n+5) -n*i,i)) %K A206459 nonn %O A206459 1,1 %A A206459 _R. H. Hardin_ Feb 07 2012