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 A247927 T(n,k)=Number of length n+4 0..k arrays with some disjoint pairs in every consecutive five terms having the same sum 14
 32, 203, 64, 824, 529, 128, 2365, 2760, 1387, 256, 5496, 9569, 9248, 3649, 512, 11167, 25512, 38753, 31092, 9611, 1024, 20648, 57769, 118416, 157589, 104692, 25265, 2048, 35249, 117256, 298267, 552708, 641575, 352744, 66443, 4096, 56960, 216937, 663080 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....32.....203......824......2365.......5496.......11167........20648 ....64.....529.....2760......9569......25512.......57769.......117256 ...128....1387.....9248.....38753.....118416......298267.......663080 ...256....3649....31092....157589.....552708.....1551533......3785236 ...512....9611...104692....641575....2582556.....8083791.....21652632 ..1024...25265...352744...2609703...12052496....42077905....123827876 ..2048...66443..1189016..10628145...56329528...219338895....709026892 ..4096..174817..4008988..43309569..263412952..1144120333...4062290944 ..8192..460139.13519544.176541467.1232134860..5970696303..23284325652 .16384.1211409.45597176.719680843.5763691618.31162093065.133483154922 LINKS R. H. Hardin, Table of n, a(n) for n = 1..2022 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: [order 12] k=3: [order 79] Empirical for row n: n=1: a(n) = 2*a(n-1) -a(n-3) -2*a(n-5) +2*a(n-6) +a(n-8) -2*a(n-10) +a(n-11); also a polynomial of degree 4 plus a linear quasipolynomial with period 12 n=2: [order 27; also a polynomial of degree 5 plus a linear quasipolynomial with period 420] EXAMPLE Some solutions for n=4 k=4 ..1....2....2....1....2....2....2....1....1....3....2....1....2....0....1....2 ..3....3....3....2....3....1....3....2....2....0....3....1....4....3....4....3 ..1....4....4....4....4....1....4....3....3....2....2....1....0....4....0....2 ..3....3....3....3....0....4....3....0....1....0....3....0....2....4....3....0 ..0....2....0....3....1....4....1....1....4....1....3....1....4....0....1....1 ..2....3....0....0....3....1....2....3....4....3....4....1....2....0....4....1 ..3....0....4....2....0....4....0....0....3....0....2....0....1....4....2....2 ..4....2....1....0....2....1....4....4....0....2....0....4....4....4....2....0 CROSSREFS Column 1 is A000079(n+4) Sequence in context: A019560 A130811 A232051 * A247928 A184020 A283336 Adjacent sequences:  A247924 A247925 A247926 * A247928 A247929 A247930 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 26 2014 STATUS approved

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Last modified January 20 20:50 EST 2021. Contains 340332 sequences. (Running on oeis4.)