A248489 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

22, 183, 22, 724, 183, 22, 2125, 844, 183, 22, 4986, 2605, 988, 183, 22, 10147, 6306, 3301, 1156, 183, 22, 18568, 13147, 8370, 4285, 1348, 183, 22, 31449, 24208, 17923, 11586, 5641, 1564, 183, 22, 50110, 40449, 33520, 25495, 16566, 7465, 1804, 183, 22

Offset

1,1

Comments

Table starts

.22.183..724..2125...4986..10147..18568...31449...50110...76111..111132..157093

.22.183..844..2605...6306..13147..24208...40449...64030...96391..139212..195013

.22.183..988..3301...8370..17923..33520...55665...87310..129991..185340..256861

.22.183.1156..4285..11586..25495..48808...81225..126358..186091..261804..358693

.22.183.1348..5641..16566..37519..73868..124113..192162..280595..390064..528557

.22.183.1564..7465..24210..56635.114924..196089..303554..441061..607596..815527

.22.183.1804..9865..35832..87071.182304..317153..493206..715865..980740.1306771

.22.183.2284.14005..54024.139671.300546..526637..827332.1200933.1639214.2176671

.22.183.2860.19945..82222.223939.498444..884525.1403330.2041155.2782532.3685341

.22.183.3532.28315.125918.358353.827778.1495083.2395314.3497273.4771996.6309277

Links

R. H. Hardin, Table of n, a(n) for n = 1..1507

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = a(n-1)

k=3: a(n) = a(n-1) +4*a(n-6) -4*a(n-7)

k=4: [order 37]

Empirical for row n:

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

n=2: [order 12; also a quartic polynomial plus a linear quasipolynomial with period 12]

n=3: [order 31; also a quartic polynomial plus a linear quasipolynomial with period 840]

n=4: [order 45]

Example

Some solutions for n=6 k=4
..2....2....3....4....2....4....0....2....2....4....0....2....2....3....3....3
..3....0....1....3....0....0....2....4....0....2....2....3....2....2....2....2
..4....2....2....0....0....2....4....3....3....2....2....4....1....2....1....1
..4....4....1....4....2....3....1....3....0....0....3....4....3....3....1....2
..2....2....2....1....1....1....3....1....3....3....1....3....4....1....0....0
..3....2....0....0....1....2....2....2....1....1....1....2....0....1....2....4
..2....2....0....4....2....4....3....2....2....1....3....2....2....3....3....3
..3....0....1....3....3....3....2....1....0....2....2....3....2....2....2....2
..1....2....2....0....3....2....4....3....3....2....2....4....1....2....1....1
..1....4....1....4....2....3....4....3....0....3....3....1....3....3....1....2
..2....2....2....1....4....4....3....1....3....0....1....0....4....4....3....0

Crossrefs

Sequence in context: A126517 A197496 A107969 * A372996 A248490 A191012

Adjacent sequences: A248486 A248487 A248488 * A248490 A248491 A248492

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 07 2014

Status

approved