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 A249233 T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having two times the sum of any two elements equal to the sum of the remaining four 14
 42, 486, 62, 2772, 972, 92, 10620, 7736, 1944, 136, 32070, 36880, 21648, 3888, 200, 81402, 133270, 128436, 60744, 7776, 292, 183696, 400152, 556024, 448148, 170928, 15552, 422, 376752, 1044612, 1974784, 2325864, 1566052, 482388, 31104, 612 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...42....486.....2772.....10620.......32070........81402........183696 ...62....972.....7736.....36880......133270.......400152.......1044612 ...92...1944....21648....128436......556024......1974784.......5967084 ..136...3888....60744....448148.....2325864......9772492......34184700 ..200...7776...170928...1566052.....9746100.....48456384.....196210998 ..292..15552...482388...5479172....40881292....240606388....1127486210 ..422..31104..1365524..19188990...171561694...1195936390....6483080144 ..612..62208..3889132..67392884...720180558...5953728172...37310369094 ..900.124416.11085704.236812732..3023733498..29645835078..214752404734 .1328.248832.31624832.832339890.12696930054.147647019270.1236199073642 LINKS R. H. Hardin, Table of n, a(n) for n = 1..468 FORMULA Empirical for column k: k=1: a(n) = a(n-3) +a(n-4) +a(n-5) +3*a(n-6) +2*a(n-7) +a(n-8) -2*a(n-9) -3*a(n-10) -2*a(n-11) -a(n-12) -a(n-13) +a(n-15) +a(n-16) k=2: a(n) = 2*a(n-1) Empirical for row n: n=1: a(n) = 4*a(n-1) -4*a(n-2) -3*a(n-3) +6*a(n-4) -6*a(n-7) +3*a(n-8) +4*a(n-9) -4*a(n-10) +a(n-11) also a polynomial of degree six plus a linear quasipolynomial with period 6 EXAMPLE Some solutions for n=3 k=4 ..1....3....2....3....0....1....0....0....0....2....2....3....1....1....4....2 ..4....0....3....1....3....2....3....1....1....3....4....1....3....1....0....0 ..1....4....3....3....4....3....0....4....0....0....0....0....3....1....0....0 ..4....0....0....4....2....0....1....1....2....4....0....1....3....4....0....3 ..0....0....3....1....4....2....0....4....1....3....1....0....3....2....3....1 ..0....0....3....4....4....2....3....1....0....2....0....2....0....4....1....2 ..0....0....4....4....2....4....1....0....4....1....0....3....3....2....4....4 ..0....3....3....4....3....0....3....1....0....3....3....1....0....1....3....1 CROSSREFS Column 1 is A248441 Sequence in context: A216111 A216113 A204566 * A249234 A250324 A086944 Adjacent sequences:  A249230 A249231 A249232 * A249234 A249235 A249236 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 23 2014 STATUS approved

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Last modified January 17 20:36 EST 2020. Contains 330987 sequences. (Running on oeis4.)