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 A247726 T(n,k)=Number of length n+3 0..k arrays with no disjoint pairs in any consecutive four terms having the same sum 14
 8, 48, 8, 168, 90, 8, 440, 456, 172, 8, 960, 1592, 1248, 334, 8, 1848, 4344, 5796, 3424, 656, 8, 3248, 10098, 19744, 21152, 9392, 1300, 8, 5328, 20816, 55372, 89836, 77236, 25822, 2584, 8, 8280, 39264, 133780, 303924, 408644, 282384, 71060, 5148, 8, 12320 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .8....48.....168......440.......960.......1848........3248.........5328 .8....90.....456.....1592......4344......10098.......20816........39264 .8...172....1248.....5796.....19744......55372......133780.......290004 .8...334....3424....21152.....89836.....303924......860360......2143214 .8...656....9392....77236....408644....1668072.....5532212.....15837692 .8..1300...25822...282384...1859736....9157806....35577396....117045466 .8..2584...71060..1032952...8465936...50284864...228817500....865051288 .8..5148..195536..3779018..38539276..276119316..1471661464...6393427268 .8.10272..537880.13825712.175434372.1516191100..9465023576..47252411120 .8.20520.1480026.50587924.798617096.8325624724.60874728614.349232818280 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) k=2: a(n) = 2*a(n-1) +2*a(n-4) -4*a(n-5) k=3: [order 27] k=4: [order 45] k=5: [order 76] Empirical for row n: n=1: a(n) = n^4 + 2*n^3 + 3*n^2 + 2*n n=2: a(n) = 4*a(n-1) -4*a(n-2) -4*a(n-3) +10*a(n-4) -4*a(n-5) -4*a(n-6) +4*a(n-7) -a(n-8); also a polynomial of degree 5 plus a linear quasipolynomial with period 2 n=3: [order 16; also a polynomial of degree 6 plus a quadratic quasipolynomial with period 12] n=4: [order 34; also a polynomial of degree 7 plus a cubic quasipolynomial with period 420] n=5: [order 72] EXAMPLE Some solutions for n=4 k=4 ..1....0....3....2....4....2....0....1....1....4....1....0....2....3....3....1 ..1....1....0....3....3....1....3....0....0....0....1....3....3....3....0....1 ..4....1....1....2....0....4....2....4....4....4....0....0....3....0....3....4 ..1....4....1....0....0....0....4....1....4....4....3....4....0....2....2....2 ..1....3....1....0....4....0....0....1....4....2....0....2....4....4....4....2 ..2....3....0....1....2....2....1....0....0....4....4....1....0....4....0....1 ..1....1....1....3....3....3....0....1....2....4....3....2....1....3....0....0 CROSSREFS Sequence in context: A034349 A296797 A024108 * A263506 A216323 A335351 Adjacent sequences:  A247723 A247724 A247725 * A247727 A247728 A247729 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 23 2014 STATUS approved

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Last modified November 29 01:40 EST 2021. Contains 349416 sequences. (Running on oeis4.)