A237574 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1876, 1876, 13924, 24332, 13924, 103264, 315664, 315664, 103264, 769680, 4146324, 7379204, 4146324, 769680, 5705156, 54395184, 173478980, 173478980, 54395184, 5705156, 42501300, 712810024, 4093774632, 7415425124, 4093774632

Offset

1,1

Comments

Table starts

.......256.........1876..........13924............103264...............769680

......1876........24332.........315664...........4146324.............54395184

.....13924.......315664........7379204.........173478980...........4093774632

....103264......4146324......173478980........7415425124.........313460630304

....769680.....54395184.....4093774632......313460630304.......23898935623162

...5705156....712810024....95639726868....13253873415032.....1807232491974520

..42501300...9341685548..2255748816966...561018557350096...138024943528283880

.315065200.122455823868.52746091216472.23744013911896432.10448941120238123892

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 14] for n>15

k=2: [order 45]

Example

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

Crossrefs

Sequence in context: A237891 A237158 A237151 * A237569 A237544 A206752

Adjacent sequences: A237571 A237572 A237573 * A237575 A237576 A237577

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 09 2014

Status

approved