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 A206452 Number of 0..5 arrays of length n avoiding the consecutive pattern 0..5. 2
 6, 36, 216, 1296, 7776, 46655, 279924, 1679508, 10076832, 60459696, 362750400, 2176455745, 13058454546, 78349047768, 470084209776, 2820444798960, 16922306043360, 101531659804415, 609176900371944, 3654983053183896 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 5 of A206455. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 Index entries for linear recurrences with constant coefficients, signature (6,0,0,0,0,-1). FORMULA a(n) = 6*a(n-1) - a(n-6). Empirical: a(n) = Sum_{i=0..floor(n/6)} ((-1)^i*6^(n-6*i)*binomial(n-5*i,i)). g.f.: x*(6 - x^5) / (1 - 6*x + x^6). - Colin Barker, Jun 16 2018 CROSSREFS Cf. A206455. Sequence in context: A126634 A216128 A007275 * A215748 A000400 A238936 Adjacent sequences:  A206449 A206450 A206451 * A206453 A206454 A206455 KEYWORD nonn AUTHOR R. H. Hardin, Feb 07 2012 STATUS approved

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Last modified September 28 01:27 EDT 2021. Contains 347698 sequences. (Running on oeis4.)