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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subdiagonal 3 of A206455

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = sum{i in 0..floor((n+3)/(n+1))} ((-1)^i*(n+1)^((n+3) -(n+1)*i)*binomial((n+3) -n*i,i))

CROSSREFS

Sequence in context: A270870 A144796 A269823 * A291806 A119657 A235456

Adjacent sequences:  A206454 A206455 A206456 * A206458 A206459 A206460

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 07 2012

STATUS

approved

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Last modified December 7 09:15 EST 2021. Contains 349574 sequences. (Running on oeis4.)