A185610 Number of (n+1)X2 0..2 arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum

0, 171, 361, 3645, 13365, 94905, 424845, 2682129, 13079349, 78537465, 399963789, 2339595729, 12218349285, 70347244905, 373332026493, 2126782533537, 11410731148437, 64515747347865, 348826307822253, 1961330707376721

Offset

1,2

Comments

Column 1 of A185614

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=6*a(n-1)+18*a(n-2)-159*a(n-3)+338*a(n-4)-48*a(n-5)-3888*a(n-6)+11346*a(n-7)-26856*a(n-8)+39504*a(n-9)+24264*a(n-10)-101520*a(n-11)+746208*a(n-12)-1142208*a(n-13)+3229632*a(n-14)-3297024*a(n-15)+5474304*a(n-16)-2985984*a(n-17)+2985984*a(n-18)

Example

Some solutions for 3X2
..0..1....0..1....1..0....0..2....1..2....0..1....1..2....0..2....0..2....0..1
..1..0....1..2....2..0....1..1....0..0....1..1....1..0....1..0....0..2....0..2
..1..0....0..1....0..1....2..0....1..2....1..0....2..1....0..2....1..1....0..1

Crossrefs

Sequence in context: A062907 A266315 A116459 * A185837 A016057 A043407

Adjacent sequences: A185607 A185608 A185609 * A185611 A185612 A185613

Keyword

nonn

Author

R. H. Hardin Jan 31 2011

Status

approved