A234114 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12

56, 186, 186, 604, 608, 604, 2064, 2086, 2086, 2064, 6964, 7742, 7732, 7742, 6964, 24156, 29278, 31740, 31740, 29278, 24156, 83012, 113666, 133592, 151304, 133592, 113666, 83012, 290164, 446590, 581756, 738628, 738628, 581756, 446590, 290164

Offset

1,1

Comments

Table starts

......56......186.......604.......2064........6964........24156.........83012

.....186......608......2086.......7742.......29278.......113666........446590

.....604.....2086......7732......31740......133592.......581756.......2579864

....2064.....7742.....31740.....151304......738628......3840512......20547980

....6964....29278....133592.....738628.....4093912.....24612244.....150134376

...24156...113666....581756....3840512....24612244....178269116....1293718300

...83012...446590...2579864...20547980...150134376...1293718300...10603143992

..290164..1777146..11668144..114726620...965407560..10243412736...97572997380

.1007972..7128062..53568572..659505140..6359501076..83539101944..892457433308

.3540836.28800050.249460672.3907997608.43513496776.726030071196.8881590361884

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) +6*a(n-2) -50*a(n-3) +16*a(n-4) +80*a(n-5) -16*a(n-6)

k=2: [order 18]

k=3: [order 40]

k=4: [order 96]

Example

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

Crossrefs

Sequence in context: A225358 A115620 A224108 * A234107 A136547 A264303

Adjacent sequences: A234111 A234112 A234113 * A234115 A234116 A234117

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2013

Status

approved