A214103 Number of 0..2 colorings of a 4X(n+1) array circular in the n+1 direction with new values 0..2 introduced in row major order

27, 8, 771, 1080, 29540, 79968, 1241355, 4807928, 54733587, 263068168, 2491174972, 13706830176, 115900489291, 694854606408, 5473717429995, 34661887488856, 261125940394148, 1712290280769888, 12540109248690731, 84080392667812248

Offset

1,1

Comments

Row 4 of A214101

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +26*a(n-2) -304*a(n-3) +304*a(n-4) +2016*a(n-5) -3991*a(n-6) -2616*a(n-7) +9702*a(n-8) -2064*a(n-9) -6120*a(n-10) +2880*a(n-11)

Example

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

Crossrefs

Sequence in context: A218014 A040710 A040708 * A097441 A040707 A040706

Adjacent sequences: A214100 A214101 A214102 * A214104 A214105 A214106

Keyword

nonn

Author

R. H. Hardin Jul 04 2012

Status

approved