A248987 T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two

2, 53, 2, 204, 53, 2, 585, 204, 53, 2, 1326, 585, 204, 53, 2, 2817, 1654, 585, 204, 53, 2, 5028, 4137, 2042, 585, 204, 53, 2, 8789, 7964, 6065, 2494, 585, 204, 53, 2, 13970, 14661, 12644, 8873, 3014, 585, 204, 53, 2, 21601, 23778, 24583, 20128, 12937, 3606

Offset

1,1

Comments

Table starts

.2.53.204.585.1326...2817...5028....8789...13970...21601....31512....45353

.2.53.204.585.1654...4137...7964...14661...23778...39441....60264....90193

.2.53.204.585.2042...6065..12644...24583...40878...72399...115668...180421

.2.53.204.585.2494...8873..20128...41419...70770..133223...222176...361717

.2.53.204.585.3014..12937..32094...70037..123076..245471...426828...726053

.2.53.204.585.3606..18737..51166..118685..214530..452471...819664..1457951

.2.53.204.585.4742..30017..86800..206989..376806..854053..1617708..2998849

.2.53.204.585.6130..47953.147582..362631..665532.1612155..3189728..6170069

.2.53.204.585.7782..76161.250880..637211.1180180.3039269..6274962.12677003

.2.53.204.585.9710.119849.425828.1122703.2100020.5721757.12312020.25999019

Links

R. H. Hardin, Table of n, a(n) for n = 1..2166

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)

k=4: a(n) = a(n-1)

k=5: [linear recurrence of order 21]

k=6: [order 51]

Empirical for row n:

n=1: [linear recurrence of order 12; also a polynomial of degree 4 plus a quadratic quasipolynomial with period 6]

Example

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

Crossrefs

Sequence in context: A000654 A061306 A249656 * A179616 A200087 A346215

Adjacent sequences: A248984 A248985 A248986 * A248988 A248989 A248990

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 18 2014

Status

approved