login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of 0..n arrays of length n+6 avoiding the consecutive pattern 0..n.
1

%I #8 Jan 20 2024 17:08:06

%S 8,5157,256012,9746876,362750400,13841186359,549755617280,

%T 22876792100667,999999999400000,45949729862605855,2218611106738944000,

%U 112455406951955165371,5976303958948911170240,332525673007965083334375

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

%C Subdiagonal 6 of A206455.

%H R. H. Hardin, <a href="/A206460/b206460.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Cf. A206455.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 07 2012