A249319 T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having six times any element equal to the sum of the remaining six

126, 1792, 250, 14336, 4586, 496, 68712, 51200, 11874, 984, 249088, 305908, 183516, 30876, 1952, 739284, 1340288, 1364252, 658388, 80354, 3872, 1898582, 4669434, 7224220, 6089486, 2362656, 208876, 7680, 4361056, 13824950, 29549686, 38980312

Offset

1,1

Comments

Table starts

...126....1792......14336.......68712.......249088.........739284

...250....4586......51200......305908......1340288........4669434

...496...11874.....183516.....1364252......7224220.......29549686

...984...30876.....658388.....6089486.....38980312......187202568

..1952...80354....2362656....27195324....210466508.....1186724138

..3872..208876....8479940...121490228...1136802444.....7525617064

..7680..541624...30441964...542821804...6141387290....47731565832

.15234.1400008..109315912..2425448642..33179587514...302750656716

.30218.3618986..392540302.10837998920.179264996934..1920348850344

.59940.9363890.1409749660.48432447004.968578232316.12181094726996

Links

R. H. Hardin, Table of n, a(n) for n = 1..193

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4) +a(n-5) +a(n-6)

Empirical for row n:

n=1: [linear recurrence of order 19; also a polynomial of degree 7 plus a quasipolynomial of degree 0 with period 60]

Example

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

Crossrefs

Column 1 is A249190

Column 2 is A249191

Sequence in context: A109146 A249197 A249212 * A249198 A249213 A249320

Adjacent sequences: A249316 A249317 A249318 * A249320 A249321 A249322

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 25 2014

Status

approved