A209955 Number of (n+1)X4 0..2 arrays with every 2X2 subblock having one, three or four distinct clockwise edge differences

4521, 260201, 14922177, 856216289, 49124545369, 2818513213257, 161711349015585, 9278144587101729, 532330973784446745, 30542342563033772233, 1752358462473154297089, 100541082479983361460545

Offset

1,1

Comments

Column 3 of A209960

Links

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

Formula

Empirical: a(n) = 48*a(n-1) +720*a(n-2) -8224*a(n-3) -127687*a(n-4) -63722*a(n-5) +3510704*a(n-6) +8214978*a(n-7) -17816696*a(n-8) -46577704*a(n-9) +37523312*a(n-10) +70734912*a(n-11) -30102144*a(n-12) -26296320*a(n-13) +10088448*a(n-14)

Example

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

Crossrefs

Sequence in context: A105845 A107543 A234425 * A104845 A235852 A138731

Adjacent sequences: A209952 A209953 A209954 * A209956 A209957 A209958

Keyword

nonn

Author

R. H. Hardin Mar 16 2012

Status

approved