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A206457
Number of 0..n arrays of length n+3 avoiding the consecutive pattern 0..n.
1
5, 216, 4048, 78050, 1679508, 40353460, 1073741632, 31381059366, 999999999700, 34522712143568, 1283918464548432, 51185893014090250, 2177953337809370548, 98526125335693358700, 4722366482869645212928, 239072435685151324846286
OFFSET
1,1
COMMENTS
Subdiagonal 3 of A206455.
LINKS
FORMULA
Empirical: a(n) = Sum_{i=0..floor((n+3)/(n+1))} ((-1)^i*(n+1)^((n+3) -(n+1)*i)*binomial((n+3)-n*i,i)).
CROSSREFS
Cf. A206455.
Sequence in context: A270870 A144796 A269823 * A291806 A119657 A235456
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 07 2012
STATUS
approved