cp's OEIS Frontend

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.

A206461 Number of 0..n arrays of length n+7 avoiding the consecutive pattern 0..n.

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%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