A236949 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum of every 2X2 subblock equal

256, 2796, 2796, 30698, 112888, 30698, 357316, 4301002, 4301002, 357316, 4195956, 178006252, 534626674, 178006252, 4195956, 50119046, 7270497452, 73196854050, 73196854050, 7270497452, 50119046, 601976968, 302691231316, 9747614152466

Offset

1,1

Comments

Table starts

.....256.......2796.........30698............357316..............4195956

....2796.....112888.......4301002.........178006252...........7270497452

...30698....4301002.....534626674.......73196854050........9747614152466

..357316..178006252...73196854050....33887916009662....14993765290435528

.4195956.7270497452.9747614152466.14993765290435528.21767431884019104260

Links

R. H. Hardin, Table of n, a(n) for n = 1..480

Formula

Empirical for column k:

k=1: a(n) = 16*a(n-1) -650*a(n-3) +596*a(n-4) +5184*a(n-5) -1365*a(n-6) -3780*a(n-7)

k=2: [order 10]

k=3: [order 13]

k=4: [order 22]

k=5: [order 34]

k=6: [order 55]

k=7: [order 88]

Example

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

Crossrefs

Sequence in context: A205417 A236127 A236124 * A236942 A236137 A236134

Adjacent sequences: A236946 A236947 A236948 * A236950 A236951 A236952

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 01 2014

Status

approved