A233102 Number of 5 X n 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order.

136, 3602, 200165, 10221326, 537122150, 28141137872, 1476681563849, 77482025109839, 4065919672314356, 213362364192842336, 11196441271433252555, 587546864324043637757, 30832253532758823307616, 1617961057337229232958984

Offset

1,1

Comments

Row 5 of A233098.

Links

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

Formula

Empirical: a(n) = 68*a(n-1) -600*a(n-2) -15127*a(n-3) +198891*a(n-4) +474114*a(n-5) -15054666*a(n-6) +40876796*a(n-7) +282247277*a(n-8) -1702957346*a(n-9) +1300734258*a(n-10) +10660506741*a(n-11) -25827798163*a(n-12) -5523934284*a(n-13) +82235055992*a(n-14) -73298596738*a(n-15) -60422455252*a(n-16) +120987324040*a(n-17) -24800038680*a(n-18) -50712556504*a(n-19) +26785354528*a(n-20) +4082561568*a(n-21) -4463628544*a(n-22) +203254656*a(n-23) +207891200*a(n-24) -17481216*a(n-25) -2073600*a(n-26) +110592*a(n-27) for n>28.

Example

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

Crossrefs

Sequence in context: A250424 A251940 A071231 * A249237 A194014 A248452

Adjacent sequences: A233099 A233100 A233101 * A233103 A233104 A233105

Keyword

nonn

Author

R. H. Hardin, Dec 04 2013

Status

approved