A233787 Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

720, 3932, 20816, 125976, 716768, 4674280, 27765752, 190316292, 1159969064, 8197609072, 50708447672, 364761775656, 2275008360504, 16527758316992, 103549619966920, 756382898620552, 4750510374920744, 34803101628502320

Offset

1,1

Comments

Column 3 of A233792

Links

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

Formula

Empirical: a(n) = 139*a(n-2) -7929*a(n-4) +248319*a(n-6) -4798442*a(n-8) +60800038*a(n-10) -523147257*a(n-12) +3118918441*a(n-14) -13016374051*a(n-16) +38139962547*a(n-18) -78218266028*a(n-20) +111158046394*a(n-22) -107387771932*a(n-24) +68279402362*a(n-26) -27119287096*a(n-28) +6185757504*a(n-30) -702040320*a(n-32) +29030400*a(n-34)

Example

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

Crossrefs

Sequence in context: A061299 A167563 A202095 * A280920 A187290 A218487

Adjacent sequences: A233784 A233785 A233786 * A233788 A233789 A233790

Keyword

nonn

Author

R. H. Hardin, Dec 15 2013

Status

approved