A233922 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 8 and no adjacent elements equal

518, 4010, 32496, 273318, 2325194, 19931860, 171250610, 1473829746, 12688761848, 109290581878, 941343044618, 8109173389480, 69853473771318, 601763613815098, 5183825786212584, 44656817891108482, 384695282287859174

Offset

1,1

Comments

Column 2 of A233928

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +90*a(n-2) -457*a(n-3) -2820*a(n-4) +12576*a(n-5) +44887*a(n-6) -174476*a(n-7) -413814*a(n-8) +1377015*a(n-9) +2340346*a(n-10) -6484142*a(n-11) -8332941*a(n-12) +18412719*a(n-13) +18808062*a(n-14) -31000755*a(n-15) -26671104*a(n-16) +29467485*a(n-17) +23060177*a(n-18) -14245792*a(n-19) -11289280*a(n-20) +2644752*a(n-21) +2672572*a(n-22) +58840*a(n-23) -200640*a(n-24) -28672*a(n-25)

Example

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

Crossrefs

Sequence in context: A345578 A345835 A253656 * A236659 A236642 A253726

Adjacent sequences: A233919 A233920 A233921 * A233923 A233924 A233925

Keyword

nonn

Author

R. H. Hardin, Dec 17 2013

Status

approved