A234208 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 15

104, 440, 440, 1792, 1732, 1792, 7584, 6644, 6644, 7584, 31552, 28016, 24480, 28016, 31552, 133984, 115680, 104276, 104276, 115680, 133984, 560768, 509536, 429552, 476804, 429552, 509536, 560768, 2386048, 2169836, 1961124, 2064028, 2064028

Offset

1,1

Comments

Table starts

......104.......440......1792.......7584.......31552......133984......560768

......440......1732......6644......28016......115680......509536.....2169836

.....1792......6644.....24480.....104276......429552.....1961124.....8457288

.....7584.....28016....104276.....476804.....2064028....10399724....47733004

....31552....115680....429552....2064028.....9242640....49998832...240124200

...133984....509536...1961124...10399724....49998832...306674836..1604387244

...560768...2169836...8457288...47733004...240124200..1604387244..8897304552

..2386048...9814536..40227192..254130448..1384025392.10638242184.64901610764

.10017536..42498000.177596408.1198170996..6844958752.57639791844

.42680192.195663360.869944940.6642355444.41343086964

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 36*a(n-2) -396*a(n-4) +1392*a(n-6) -1664*a(n-8) +512*a(n-10)

k=2: [order 35]

Example

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

Crossrefs

Sequence in context: A188150 A234227 A234220 * A234201 A250669 A250691

Adjacent sequences: A234205 A234206 A234207 * A234209 A234210 A234211

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 21 2013

Status

approved