A209947 Half the number of (n+1)X5 0..2 arrays with every 2X2 subblock having at most one duplicate clockwise edge difference

14832, 1845126, 228881560, 28414622976, 3526904366260, 437792367422004, 54342179402121844, 6745399989408922240, 837293938546572140624, 103931774917513439888384, 12900861490983323374922924

Offset

1,1

Comments

Column 4 of A209951

Links

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

Formula

Empirical: a(n) = 137*a(n-1) +1375*a(n-2) -379196*a(n-3) -822985*a(n-4) +271649589*a(n-5) -1022269805*a(n-6) -70170761263*a(n-7) +641952993302*a(n-8) +4342534054342*a(n-9) -73954267458122*a(n-10) +102618635049097*a(n-11) +2531171062983520*a(n-12) -12080605781945952*a(n-13) -14798120421349900*a(n-14) +217104858821453334*a(n-15) -280602154303600016*a(n-16) -1389650405420282304*a(n-17) +3900152449918862176*a(n-18) +2254091203675155280*a(n-19) -17592328601776482368*a(n-20) +8668588599651710208*a(n-21) +33065579126579949824*a(n-22) -32933150152345127680*a(n-23) -27531067079695864576*a(n-24) +40499204279510826496*a(n-25) +8532070056474904576*a(n-26) -22150202432386494464*a(n-27) +486895998136811520*a(n-28) +5299226485845917696*a(n-29) -593747450140950528*a(n-30) -473505641334833152*a(n-31) +63092769119272960*a(n-32) +8035775765544960*a(n-33)

Example

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

Crossrefs

Sequence in context: A186790 A234766 A177412 * A023045 A186901 A185486

Adjacent sequences: A209944 A209945 A209946 * A209948 A209949 A209950

Keyword

nonn

Author

R. H. Hardin Mar 16 2012

Status

approved