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%I #6 Dec 12 2014 20:44:21
%S 22,183,22,724,183,22,2125,844,183,22,4986,2605,988,183,22,10147,6306,
%T 3301,1156,183,22,18568,13147,8370,4285,1348,183,22,31449,24208,17923,
%U 11586,5641,1564,183,22,50110,40449,33520,25495,16566,7465,1804,183,22
%N T(n,k)=Number of length n+5 0..k arrays with some three disjoint pairs in each consecutive six terms having the same sum
%C Table starts
%C .22.183..724..2125...4986..10147..18568...31449...50110...76111..111132..157093
%C .22.183..844..2605...6306..13147..24208...40449...64030...96391..139212..195013
%C .22.183..988..3301...8370..17923..33520...55665...87310..129991..185340..256861
%C .22.183.1156..4285..11586..25495..48808...81225..126358..186091..261804..358693
%C .22.183.1348..5641..16566..37519..73868..124113..192162..280595..390064..528557
%C .22.183.1564..7465..24210..56635.114924..196089..303554..441061..607596..815527
%C .22.183.1804..9865..35832..87071.182304..317153..493206..715865..980740.1306771
%C .22.183.2284.14005..54024.139671.300546..526637..827332.1200933.1639214.2176671
%C .22.183.2860.19945..82222.223939.498444..884525.1403330.2041155.2782532.3685341
%C .22.183.3532.28315.125918.358353.827778.1495083.2395314.3497273.4771996.6309277
%H R. H. Hardin, <a href="/A248489/b248489.txt">Table of n, a(n) for n = 1..1507</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = a(n-1)
%F k=3: a(n) = a(n-1) +4*a(n-6) -4*a(n-7)
%F k=4: [order 37]
%F Empirical for row n:
%F n=1: a(n) = 4*a(n-1) -5*a(n-2) +5*a(n-4) -4*a(n-5) +a(n-6); also a quartic polynomial plus a constant quasipolynomial with period 2
%F n=2: [order 12; also a quartic polynomial plus a linear quasipolynomial with period 12]
%F n=3: [order 31; also a quartic polynomial plus a linear quasipolynomial with period 840]
%F n=4: [order 45]
%e Some solutions for n=6 k=4
%e ..2....2....3....4....2....4....0....2....2....4....0....2....2....3....3....3
%e ..3....0....1....3....0....0....2....4....0....2....2....3....2....2....2....2
%e ..4....2....2....0....0....2....4....3....3....2....2....4....1....2....1....1
%e ..4....4....1....4....2....3....1....3....0....0....3....4....3....3....1....2
%e ..2....2....2....1....1....1....3....1....3....3....1....3....4....1....0....0
%e ..3....2....0....0....1....2....2....2....1....1....1....2....0....1....2....4
%e ..2....2....0....4....2....4....3....2....2....1....3....2....2....3....3....3
%e ..3....0....1....3....3....3....2....1....0....2....2....3....2....2....2....2
%e ..1....2....2....0....3....2....4....3....3....2....2....4....1....2....1....1
%e ..1....4....1....4....2....3....4....3....0....3....3....1....3....3....1....2
%e ..2....2....2....1....4....4....3....1....3....0....1....0....4....4....3....0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Oct 07 2014
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