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.

A206460 Number of 0..n arrays of length n+6 avoiding the consecutive pattern 0..n.

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%I A206460 #8 Jan 20 2024 17:08:06
%S A206460 8,5157,256012,9746876,362750400,13841186359,549755617280,
%T A206460 22876792100667,999999999400000,45949729862605855,2218611106738944000,
%U A206460 112455406951955165371,5976303958948911170240,332525673007965083334375
%N A206460 Number of 0..n arrays of length n+6 avoiding the consecutive pattern 0..n.
%C A206460 Subdiagonal 6 of A206455.
%H A206460 R. H. Hardin, <a href="/A206460/b206460.txt">Table of n, a(n) for n = 1..210</a>
%F A206460 Empirical: a(n) = Sum_{i=0..floor((n+6)/(n+1))} ((-1)^i*(n+1)^((n+6) -(n+1)*i)*binomial((n+6) -n*i,i)).
%Y A206460 Cf. A206455.
%K A206460 nonn
%O A206460 1,1
%A A206460 _R. H. Hardin_, Feb 07 2012