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 A250382 Number of length n+3 0..3 arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. 1
 156, 432, 1208, 3384, 9480, 26578, 74528, 208998, 586102, 1643650, 4609526, 12927186, 36253772, 101672196, 285136136, 799654742, 2242605598, 6289313722, 17638176794, 49465700416, 138724972590, 389049740574, 1091077541772 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 3 of A250387. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 2*a(n-1) +5*a(n-2) -7*a(n-3) +a(n-4) +5*a(n-5) -48*a(n-6) +6*a(n-7) +80*a(n-8) -37*a(n-9) -15*a(n-10) +81*a(n-11) -34*a(n-12) -16*a(n-13) +20*a(n-14) -26*a(n-15) -4*a(n-16) +8*a(n-17). Empirical g.f.: 2*x*(78 + 60*x - 218*x^2 - 50*x^3 - 230*x^4 - 1029*x^5 + 890*x^6 + 1894*x^7 - 988*x^8 + 285*x^9 + 1852*x^10 - 1178*x^11 - 328*x^12 + 298*x^13 - 788*x^14 - 24*x^15 + 240*x^16) / (1 - 2*x - 5*x^2 + 7*x^3 - x^4 - 5*x^5 + 48*x^6 - 6*x^7 - 80*x^8 + 37*x^9 + 15*x^10 - 81*x^11 + 34*x^12 + 16*x^13 - 20*x^14 + 26*x^15 + 4*x^16 - 8*x^17). - Colin Barker, Aug 20 2017 EXAMPLE Some solutions for n=6: ..3....3....2....0....0....0....2....0....3....0....1....0....0....1....2....3 ..2....1....2....3....3....2....1....3....3....2....2....2....1....3....1....1 ..3....2....3....0....1....3....3....0....1....0....3....0....0....0....3....0 ..0....3....3....1....0....0....0....3....0....3....1....2....3....0....1....3 ..1....0....0....3....2....0....0....1....0....0....3....1....2....3....3....3 ..0....0....0....0....3....2....3....3....2....3....0....2....0....1....0....0 ..2....2....2....2....0....1....1....2....2....2....0....0....3....0....0....1 ..3....1....1....3....3....3....2....0....0....0....3....2....0....2....1....2 ..0....3....2....0....0....1....3....1....0....3....1....1....3....3....2....0 CROSSREFS Sequence in context: A037983 A298909 A156849 * A106056 A259947 A043356 Adjacent sequences: A250379 A250380 A250381 * A250383 A250384 A250385 KEYWORD nonn AUTHOR R. H. Hardin, Nov 20 2014 STATUS approved

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Last modified October 1 07:58 EDT 2023. Contains 365817 sequences. (Running on oeis4.)