A206456 Number of 0..n arrays of length n+2 avoiding the consecutive pattern 0..n

4, 75, 1016, 15615, 279924, 5764787, 134217712, 3486784383, 99999999980, 3138428376699, 106993205379048, 3937376385699263, 155568095557812196, 6568408355712890595, 295147905179352825824, 14063084452067724990975

Offset

1,1

Comments

Subdiagonal 2 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+2)/(n+1))} ((-1)^i*(n+1)^((n+2) -(n+1)*i)*binomial((n+2) -n*i,i))

Crossrefs

Sequence in context: A257367 A072373 A006412 * A137220 A006236 A374884

Adjacent sequences: A206453 A206454 A206455 * A206457 A206458 A206459

Keyword

nonn

Author

R. H. Hardin Feb 07 2012

Status

approved