A251524 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock summing to 2 3 4 5 6 7 8 9 or 10.

246, 3798, 3798, 58618, 227174, 58618, 904734, 13580282, 13580282, 904734, 13963994, 811863390, 3143505700, 811863390, 13963994, 215525422, 48535019898, 727704325306, 727704325306, 48535019898, 215525422, 3326498602

Offset

1,1

Comments

Table starts

......246........3798...........58618.............904734...............13963994

.....3798......227174........13580282..........811863390............48535019898

....58618....13580282......3143505700.......727704325306........168458473890432

...904734...811863390....727704325306....652338909221254.....584773855532345166

.13963994.48535019898.168458473890432.584773855532345166.2029918047045095062378

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 15*a(n-1) +8*a(n-2) -20*a(n-3).

k=2: a(n) = 59*a(n-1) +67*a(n-2) -1223*a(n-3) +782*a(n-4) +1020*a(n-5) -520*a(n-6).

k=3: [order 15].

k=4: [order 40].

Example

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

Crossrefs

Sequence in context: A186796 A186788 A074995 * A251517 A293369 A212475

Adjacent sequences: A251521 A251522 A251523 * A251525 A251526 A251527

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2014

Status

approved