A233724 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 26 (26 maximizes T(1,1))

280, 1820, 1820, 11016, 13588, 11016, 68828, 101644, 101644, 68828, 423220, 820524, 998048, 820524, 423220, 2624872, 6622988, 10950676, 10950676, 6622988, 2624872, 16201200, 54865696, 122218188, 170070448, 122218188, 54865696, 16201200

Offset

1,1

Comments

Table starts

........280.........1820..........11016...........68828...........423220

.......1820........13588.........101644..........820524..........6622988

......11016.......101644.........998048........10950676........122218188

......68828.......820524.......10950676.......170070448.......2734167036

.....423220......6622988......122218188......2734167036......64803794224

....2624872.....54865696.....1417835712.....46522687660....1650535163756

...16201200....453172200....16483703564....796715658452...42662876957452

..100277820...3781440536...194721929436..13995270446204.1138753868813024

..619644916..31469076952..2296636990520.245408211398092

.3832773404.263046916084.27285817326088

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 90]

Example

Some solutions for n=2 k=4
..6..6..6..5..2....0..0..0..0..0....2..5..2..2..4....2..0..4..1..1
..2..3..2..2..4....4..1..4..1..4....6..6..6..5..7....0..3..4..5..2
..2..6..6..5..2....2..4..6..4..6....2..5..2..2..5....2..0..4..1..2

Crossrefs

Sequence in context: A234911 A234905 A187178 * A233718 A272982 A234458

Adjacent sequences: A233721 A233722 A233723 * A233725 A233726 A233727

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 15 2013

Status

approved