A249190 -id:A249190 - cp's OEIS frontend

A249212 T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having five times the sum of any two elements equal to two times the sum of the remaining five.

126, 1792, 250, 14336, 4586, 496, 67452, 51200, 11874, 984, 242494, 294568, 183516, 30876, 1952, 714980, 1267754, 1287632, 658448, 80354, 3872, 1826748, 4353482, 6631348, 5630090, 2363528, 208876, 7680, 4173442, 12777540, 26526142, 34695508

Offset: 1

R. H. Hardin, Oct 23 2014

Table starts
...126....1792......14336.......67452.......242494........714980........1826748
...250....4586......51200......294568......1267754.......4353482.......12777540
...496...11874.....183516.....1287632......6631348......26526142.......89437990
...984...30876.....658448.....5630090.....34695508.....161678612......626273302
..1952...80354....2363528....24619804....181549572.....985612414.....4386401650
..3872..208876....8486156...107662502....950035900....6008974124....30726981418
..7680..541624...30475714...470797744...4971575032...36636435714...215266489016
.15234.1400008..109474166..2058664560..26016562386..223372525098..1508222615012
.30218.3618986..393232196..9001977388.136146815610.1361915986824.10567758194606
.59940.9363890.1412652056.39365277268.712472439202.8303744023910.74046470379458

			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....0....0....0....0....0....0....0....0
..1....0....3....3....0....3....2....2....4....1....1....4....0....4....0....3
..2....0....0....4....3....3....2....2....1....2....4....1....2....3....1....4
..1....0....1....1....1....1....0....2....3....1....2....1....2....0....0....4
..1....4....3....3....3....2....4....1....2....3....2....1....3....2....3....0
..3....0....3....3....1....4....0....4....2....2....4....1....3....4....1....4
..3....2....4....4....4....0....0....1....0....4....2....2....0....0....3....0
..1....3....1....4....3....4....2....1....3....3....0....0....1....3....2....0

R. H. Hardin, Table of n, a(n) for n = 1..174

Column 1 is A249190

Column 2 is A249191

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)

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.

Original entry on oeis.org

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

R. H. Hardin, Oct 25 2014

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

			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

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

Column 1 is A249190

Column 2 is A249191

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]

cp's OEIS Frontend

A249212 T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having five times the sum of any two elements equal to two times the sum of the remaining five.

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