A234108 Number of (n+1)X(2+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

186, 608, 2086, 7742, 29278, 113666, 446590, 1777146, 7128062, 28800050, 116956694, 477079450, 1952467246, 8013263810, 32960180670, 135831293266, 560640193430, 2317207177362, 9588529183750, 39718769341930, 164680552349318

Offset

1,1

Comments

Column 2 of A234114

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +6*a(n-2) -172*a(n-3) +144*a(n-4) +1438*a(n-5) -1805*a(n-6) -6160*a(n-7) +8467*a(n-8) +14464*a(n-9) -20123*a(n-10) -17822*a(n-11) +25464*a(n-12) +9216*a(n-13) -15948*a(n-14) +136*a(n-15) +3552*a(n-16) -928*a(n-17) +64*a(n-18)

Example

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

Crossrefs

Sequence in context: A151701 A258276 A286006 * A200199 A364859 A251499

Adjacent sequences: A234105 A234106 A234107 * A234109 A234110 A234111

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved