A235849 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median unequal to the lower median in every 2X2 subblock

156, 1584, 1584, 16228, 42080, 16228, 166816, 1133608, 1133608, 166816, 1716484, 30740652, 80556656, 30740652, 1716484, 17668128, 835207356, 5778908484, 5778908484, 835207356, 17668128, 181881988, 22709045764, 415698469568

Offset

1,1

Comments

Table starts

......156........1584..........16228............166816..............1716484

.....1584.......42080........1133608..........30740652............835207356

....16228.....1133608.......80556656........5778908484.........415698469568

...166816....30740652.....5778908484.....1099656771452......209981690279512

..1716484...835207356...415698469568...209981690279512...106515130271657924

.17668128.22709045764.29937676955084.40159317967439332.54136683763799147676

Links

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

Formula

Empirical for column k:

k=1: a(n) = 14*a(n-1) -31*a(n-2) -94*a(n-3) +192*a(n-4) +192*a(n-5)

k=2: [order 15]

k=3: [order 55]

Example

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

Crossrefs

Sequence in context: A232718 A204957 A263305 * A235843 A065699 A263290

Adjacent sequences: A235846 A235847 A235848 * A235850 A235851 A235852

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 16 2014

Status

approved