A214169 Number of 0..5 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..5 introduced in row major order

34, 902, 88261, 7386816, 655418810, 57661437162, 5087962926669, 448703414185598, 39577633233692734, 3490791894924911324, 307895065966510710253, 27156913603466334950340, 2395291575734302273574146

Offset

1,1

Comments

Row 3 of A214166

Links

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

Formula

Empirical: a(n) = 67*a(n-1) +2324*a(n-2) -31516*a(n-3) -823431*a(n-4) +5444061*a(n-5) +84228790*a(n-6) -593193810*a(n-7) -2829906471*a(n-8) +29361035421*a(n-9) -5920653848*a(n-10) -514810627672*a(n-11) +1189252868407*a(n-12) +2543264898611*a(n-13) -12441462957938*a(n-14) +7044950862694*a(n-15) +29864975550776*a(n-16) -43278546127280*a(n-17) -9805436044288*a(n-18) +45301498197024*a(n-19) -13250017912320*a(n-20) -11125130457600*a(n-21) +4451355648000*a(n-22)

Example

Some solutions for n=4
..0..1..0..1..2....0..1..0..1..2....0..1..0..1..2....0..1..2..0..2
..1..2..3..4..5....1..0..1..0..3....3..0..3..2..0....1..2..0..2..0
..3..1..2..3..2....0..1..3..4..5....4..5..0..1..2....2..1..2..0..1

Crossrefs

Sequence in context: A295351 A295605 A244654 * A212787 A020535 A134500

Adjacent sequences: A214166 A214167 A214168 * A214170 A214171 A214172

Keyword

nonn

Author

R. H. Hardin Jul 05 2012

Status

approved