A233880 Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

2400, 22020, 178704, 1768660, 15013864, 160334028, 1417225464, 16134545712, 147047775280, 1750029730452, 16265178436688, 198822715540700, 1868774647210040, 23183928173193336, 219227883708704288

Offset

1,1

Comments

Column 5 of A233883

Links

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

Formula

Empirical: a(n) = 390*a(n-2) -63115*a(n-4) +5633508*a(n-6) -311287762*a(n-8) +11395143071*a(n-10) -290608508897*a(n-12) +5364876782159*a(n-14) -73770016903887*a(n-16) +771455610322102*a(n-18) -6226548780129951*a(n-20) +39172372910038001*a(n-22) -193237451888156699*a(n-24) +749448322438960607*a(n-26) -2284924382785662062*a(n-28) +5461859355511846682*a(n-30) -10185644885765121071*a(n-32) +14709447103939892100*a(n-34) -16281042118217455735*a(n-36) +13617119182197701100*a(n-38) -8438611741506693900*a(n-40) +3769223995920232000*a(n-42) -1166605374110880000*a(n-44) +236321446856400000*a(n-46) -28818965889000000*a(n-48) +1865383020000000*a(n-50) -48478500000000*a(n-52)

Example

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

Crossrefs

Sequence in context: A286342 A204357 A043420 * A234453 A236084 A204304

Adjacent sequences: A233877 A233878 A233879 * A233881 A233882 A233883

Keyword

nonn

Author

R. H. Hardin, Dec 17 2013

Status

approved