login
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.
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 03 2014
STATUS
approved