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 A249290 T(n,k)=Number of length n+3 0..k arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth 14
 14, 66, 26, 204, 168, 48, 524, 660, 428, 88, 1098, 2228, 2144, 1094, 162, 2070, 5646, 9504, 6960, 2792, 298, 3584, 12600, 29100, 40588, 22572, 7132, 548, 5808, 25280, 76856, 150112, 173368, 73204, 18232, 1008, 8934, 46608, 178644, 469072, 774542 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...14.....66.....204.......524.......1098........2070.........3584.........5808 ...26....168.....660......2228.......5646.......12600........25280........46608 ...48....428....2144......9504......29100.......76856.......178644.......374540 ...88...1094....6960.....40588.....150112......469072......1263044......3011088 ..162...2792...22572....173368.....774542.....2863158......8930228.....24208540 ..298...7132...73204....740616....3996816....17477172.....63142432....194636612 ..548..18232..237480...3164312...20626236...106687006....446465388...1564897170 .1008..46616..770416..13520668..106449362...651265876...3156873140..12581992958 .1854.119176.2499164..57772560..549377682..3975630136..22321652802.101161030608 .3410.304696.8107012.246857788.2835311880.24269116850.157832259724.813349549954 LINKS R. H. Hardin, Table of n, a(n) for n = 1..9999 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) +a(n-3) k=2: [order 12] k=3: [order 8] k=4: [order 40] k=5: [order 87] Empirical for row n: n=1: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +a(n-5) +2*a(n-6) -3*a(n-7) +a(n-8); also a polynomial of degree 4 plus a constant quasipolynomial with period 6 n=2: [order 32; also a polynomial of degree 5 plus a linear quasipolynomial with period 360] EXAMPLE Some solutions for n=4 k=4 ..3....4....1....4....3....0....4....2....3....1....1....3....0....0....3....1 ..2....0....4....1....2....1....4....3....0....1....0....2....3....2....2....0 ..0....3....0....1....4....4....2....3....4....0....4....0....0....0....4....4 ..2....3....4....4....4....1....3....2....4....0....3....2....4....0....0....4 ..1....1....3....0....1....4....0....1....2....4....3....2....0....2....4....3 ..0....4....2....4....4....4....1....4....0....1....3....0....1....1....0....0 ..3....0....2....0....2....4....4....4....0....4....4....2....0....2....0....0 CROSSREFS Column 1 is A135491(n+3) Sequence in context: A226754 A058092 A213757 * A336744 A249291 A280401 Adjacent sequences: A249287 A249288 A249289 * A249291 A249292 A249293 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 24 2014 STATUS approved

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Last modified March 21 07:38 EDT 2023. Contains 361393 sequences. (Running on oeis4.)