A232953 Number of nX6 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero

243, 27771, 3484893, 442227825, 56282275743, 7168373617095, 913176469752921, 116335186551225981, 14820857088037937067, 1888152565941258630963, 240547722416361692415285, 30645415985954670300604329

Offset

1,1

Comments

Column 6 of A232955

Links

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

Formula

Empirical: a(n) = 164*a(n-1) -4626*a(n-2) -10237*a(n-3) +724806*a(n-4) -2489128*a(n-5) -20967827*a(n-6) +129949639*a(n-7) -92364571*a(n-8) -632285585*a(n-9) +1013530592*a(n-10) +686481298*a(n-11) -1825492832*a(n-12) +98427893*a(n-13) +965164167*a(n-14) -223865096*a(n-15) -150502642*a(n-16) +39404908*a(n-17) +4977174*a(n-18) -881024*a(n-19) -36192*a(n-20) +4272*a(n-21)

Example

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

Crossrefs

Sequence in context: A231860 A232946 A223502 * A222167 A016889 A215044

Adjacent sequences: A232950 A232951 A232952 * A232954 A232955 A232956

Keyword

nonn

Author

R. H. Hardin, Dec 02 2013

Status

approved