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A206460
Number of 0..n arrays of length n+6 avoiding the consecutive pattern 0..n.
1
8, 5157, 256012, 9746876, 362750400, 13841186359, 549755617280, 22876792100667, 999999999400000, 45949729862605855, 2218611106738944000, 112455406951955165371, 5976303958948911170240, 332525673007965083334375
OFFSET
1,1
COMMENTS
Subdiagonal 6 of A206455.
LINKS
FORMULA
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)).
CROSSREFS
Cf. A206455.
Sequence in context: A045478 A055319 A029736 * A340890 A093937 A318897
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 07 2012
STATUS
approved