A248448 T(n,k)=Number of length n+5 0..k arrays with no three disjoint pairs in any consecutive six terms having the same sum

42, 546, 62, 3372, 1272, 92, 13500, 11436, 3000, 136, 41670, 59480, 39072, 7116, 200, 107502, 226410, 263212, 133872, 16932, 292, 243576, 694632, 1233820, 1166348, 459276, 40326, 422, 499992, 1824272, 4497352, 6729772, 5171484, 1576148, 95972

Offset

1,1

Comments

Table starts

...42.....546......3372......13500........41670........107502.........243576

...62....1272.....11436......59480.......226410........694632........1824272

...92....3000.....39072.....263212......1233820.......4497352.......13682340

..136....7116....133872....1166348......6729772......29135376......102662460

..200...16932....459276....5171484.....36721992.....188800400......770455736

..292...40326...1576148...22934730....200399588....1223547300.....5782408256

..422...95972...5407584..101700684...1093511486....7928947808....43396532796

..612..228582..18555016..450991386...5966952566...51381959992...325686928754

..900..544916..63680912.2000009808..32560374732..332972844392..2444257395164

.1328.1299898.218584848.8869712066.177677103884.2157790887982.18344026931670

Links

R. H. Hardin, Table of n, a(n) for n = 1..499

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

Empirical for row n:

n=1: a(n) = 6*a(n-1) -14*a(n-2) +14*a(n-3) -14*a(n-5) +14*a(n-6) -6*a(n-7) +a(n-8); also polynomial of degree 6 plus a constant quasipolynomial with period 2

n=2: [order 16; also a polynomial of degree 7 plus a linear quasipolynomial with period 12]

Example

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

Crossrefs

Sequence in context: A163727 A160065 A196671 * A248449 A245874 A293096

Adjacent sequences: A248445 A248446 A248447 * A248449 A248450 A248451

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 06 2014

Status

approved