A249085 T(n,k) = Number of length n+5 0..k arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four.

22, 243, 22, 1324, 243, 22, 5005, 1944, 243, 22, 14586, 8805, 2844, 243, 22, 36247, 28366, 15493, 4136, 243, 22, 78448, 84067, 55318, 27213, 5964, 243, 22, 154689, 202628, 195519, 108018, 47645, 8504, 243, 22, 281470, 429069, 525960, 454487

Offset

1,1

Comments

Table starts

.22.243....1324......5005......14586.......36247........78448........154689

.22.243....1944......8805......28366.......84067.......202628........429069

.22.243....2844.....15493......55318......195519.......525960.......1201225

.22.243....4136.....27213.....108018......454487......1365188.......3374725

.22.243....5964.....47645.....211034.....1054347......3535850.......9493535

.22.243....8504.....83045.....412334.....2439587......9128450......26718133

.22.243...11964....143925.....805518.....5629189.....23480326......75209315

.22.243...18884....263405....1574782....13492099.....61940694.....211999693

.22.243...29484....480725....3079710....32245925....162995818.....598200699

.22.243...45428....874421....6024336....76837553....427723930....1689449813

.22.243...68892...1584425...11786986...182515991...1118943674....4775230927

.22.243..102564...2858305...23066566...432099083...2917379528...13507360617

.22.243..149644...5130445...45148946..1019449179...7579080652...38234913321

Links

R. H. Hardin, Table of n, a(n) for n = 1..566

Formula

Empirical for column k:

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

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

k=3: [order 25].

k=4: [order 40].

Empirical for row n:

n=1: [linear recurrence of order 10; also a polynomial of degree 5 plus a linear quasipolynomial with period 6].

Example

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

Crossrefs

Sequence in context: A046499 A126903 A035706 * A249086 A300624 A249087

Adjacent sequences: A249082 A249083 A249084 * A249086 A249087 A249088

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 20 2014

Status

approved