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 A249001 T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two 14
 30, 190, 58, 820, 464, 112, 2540, 2668, 1140, 216, 6450, 10360, 8680, 2802, 416, 13990, 32398, 42308, 28240, 6872, 802, 27740, 82348, 163112, 172888, 91888, 16800, 1546, 50260, 189660, 485580, 822348, 706704, 299044, 41084, 2980, 86030, 387900 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....30....190......820......2540........6450........13990........27740 ....58....464.....2668.....10360.......32398........82348.......189660 ...112...1140.....8680.....42308......163112.......485580......1298968 ...216...2802....28240....172888......822348......2865126......8902860 ...416...6872....91888....706704.....4149708.....16909524.....61034658 ...802..16800...299044...2888944....20952218.....99817384....418454994 ..1546..41084...973204..11810564...105819690....589354152...2869206494 ..2980.100590..3167500..48286456...534502810...3479916010..19673497892 ..5744.246378.10309372.197422012..2700047696..20548067494.134897701458 .11072.603406.33554728.807188768.13640156760.121333048614.924972633722 LINKS R. H. Hardin, Table of n, a(n) for n = 1..2018 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4) k=2: [order 37] k=3: [order 9] Empirical for row n: n=1: [linear recurrence of order 13; also a polynomial of degree 5 plus a quadratic quasipolynomial with period 6] EXAMPLE Some solutions for n=4 k=4 ..2....0....1....0....1....0....0....1....0....2....0....0....1....1....1....2 ..1....0....1....2....0....2....3....0....4....3....2....4....1....3....0....1 ..2....3....1....2....2....2....1....3....0....1....1....4....0....3....0....0 ..2....0....3....2....0....2....3....2....1....4....3....2....2....1....1....4 ..1....1....3....0....0....2....0....0....4....2....3....3....2....4....0....0 ..3....4....0....2....0....4....0....2....0....2....4....4....3....0....1....0 ..0....1....2....0....4....3....2....2....3....4....2....0....0....0....1....2 ..1....2....0....4....0....3....4....0....1....4....1....2....0....3....0....0 CROSSREFS Column 1 is A135492(n+4) Sequence in context: A071311 A337494 A265037 * A249466 A249002 A249467 Adjacent sequences: A248998 A248999 A249000 * A249002 A249003 A249004 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 18 2014 STATUS approved

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Last modified August 14 08:37 EDT 2024. Contains 375159 sequences. (Running on oeis4.)