A234107 Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12.

56, 186, 604, 2064, 6964, 24156, 83012, 290164, 1007972, 3540836, 12393060, 43708804, 153873060, 544613636, 1926294628, 6839634244, 24285641508, 86475603716, 308037991396, 1099585403844, 3927295071396, 14049115042436

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: 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).

Empirical g.f.: 2*x*(28 - 47*x - 331*x^2 + 364*x^3 + 712*x^4 - 152*x^5) / ((1 - 2*x)*(1 - 2*x - 4*x^2)*(1 - x - 10*x^2 + 2*x^3)). - Colin Barker, Oct 12 2018

Example

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

Crossrefs

Column 1 of A234114.

Sequence in context: A115620 A224108 A234114 * A136547 A264303 A200833

Adjacent sequences: A234104 A234105 A234106 * A234108 A234109 A234110

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved