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 A249285 Number of length n+3 0..3 arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth. 1
 204, 660, 2144, 6960, 22572, 73204, 237480, 770416, 2499164, 8107012, 26298608, 85311248, 276744204, 897739412, 2912207432, 9447011744, 30645489228, 99411957620, 322485877472, 1046123080816, 3393554802188, 11008469603188 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 2*a(n-1) + 2*a(n-2) + 4*a(n-3) + 8*a(n-4) + 4*a(n-5) - 8*a(n-6) - 2*a(n-7) + 3*a(n-8). Empirical g.f.: 4*x*(51 + 63*x + 104*x^2 + 134*x^3 + 23*x^4 - 133*x^5 - 18*x^6 + 48*x^7) / (1 - 2*x - 2*x^2 - 4*x^3 - 8*x^4 - 4*x^5 + 8*x^6 + 2*x^7 - 3*x^8). - Colin Barker, Nov 09 2018 EXAMPLE Some solutions for n=6: 3 0 3 2 1 1 3 0 0 0 3 3 1 2 0 2 3 1 3 2 0 1 1 0 1 2 1 3 0 3 2 2 1 1 2 1 3 1 3 2 0 2 0 1 1 2 2 1 2 1 3 1 3 0 1 0 2 0 1 1 1 2 0 0 0 0 2 3 1 0 3 2 3 3 3 2 3 0 2 0 2 3 0 3 1 1 0 2 0 1 1 2 0 0 0 1 2 3 1 3 3 0 3 0 1 3 0 0 2 2 2 1 3 0 3 1 3 1 3 3 1 1 2 1 0 3 1 3 3 1 1 1 2 0 3 2 0 2 0 0 0 2 2 0 CROSSREFS Column 3 of A249290. Sequence in context: A163393 A245468 A154518 * A292346 A338153 A234796 Adjacent sequences: A249282 A249283 A249284 * A249286 A249287 A249288 KEYWORD nonn AUTHOR R. H. Hardin, Oct 24 2014 STATUS approved

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Last modified June 8 07:54 EDT 2023. Contains 363157 sequences. (Running on oeis4.)