A249656 T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having four times some element equal to the sum of the remaining four

2, 53, 2, 164, 53, 2, 485, 164, 53, 2, 1046, 485, 164, 53, 2, 2077, 1218, 485, 164, 53, 2, 3708, 2589, 1408, 485, 164, 53, 2, 6149, 4944, 3221, 1620, 485, 164, 53, 2, 9610, 8605, 6678, 3981, 1858, 485, 164, 53, 2, 14441, 13814, 12377, 9026, 4877, 2126, 485, 164, 53

Offset

1,1

Comments

Table starts

.2.53.164.485.1046..2077..3708...6149...9610...14441...20832...29173...39794

.2.53.164.485.1218..2589..4944...8605..13814...21789...32332...46097...63726

.2.53.164.485.1408..3221..6678..12377..20572...33877...51568...74947..105310

.2.53.164.485.1620..3981..9026..18009..31276...53643...83648..124019..177426

.2.53.164.485.1858..4877.12108..26269..48120...85863..137008..207153..301826

.2.53.164.485.2126..5917.16048..38149..74540..138277..225550..347407..515094

.2.53.164.485.2590..7709.23048..58981.118234..229677..383820..602267..905604

.2.53.164.485.3132..9957.33102..91929.190134..384399..656584.1050109.1604176

.2.53.164.485.3764.12707.47170.143465.308642..647223.1128230.1838941.2857318

.2.53.164.485.4498.16005.66232.222677.503942.1094265.1944918.3228569.5104984

Links

R. H. Hardin, Table of n, a(n) for n = 1..2719

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: [order 26]

k=6: [order 66]

Empirical for row n:

n=1: [linear recurrence of order 10; also a polynomial of degree 4 plus a quasipolynomial of degree 0 with period 12]

n=2: [order 69]

Example

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

Crossrefs

Sequence in context: A079179 A000654 A061306 * A248987 A179616 A200087

Adjacent sequences: A249653 A249654 A249655 * A249657 A249658 A249659

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 03 2014

Status

approved