A230972 Number of (n+2)X(3+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

64, 1024, 13872, 215296, 3512016, 56791296, 916182800, 14798235904, 239064235280, 3861633730816, 62375812374416, 1007546438064384, 16274770077064464, 262884078983506176, 4246328954474664080

Offset

1,1

Comments

Column 3 of A230977

Links

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

Formula

Empirical: a(n) = 16*a(n-1) +38*a(n-3) +169*a(n-4) -2222*a(n-5) -6268*a(n-6) +96224*a(n-7) +78948*a(n-8) -1087800*a(n-9) -22464*a(n-10) +94592*a(n-11) -1544192*a(n-12) -77824*a(n-13) -1000192*a(n-14) +2238464*a(n-15) -2001664*a(n-16) +2165248*a(n-17) +1662976*a(n-18) -2408448*a(n-19) +1826816*a(n-20) +114688*a(n-21) -786432*a(n-22) +1572864*a(n-24) -1048576*a(n-25)

Example

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

Crossrefs

Sequence in context: A270272 A297612 A000768 * A232958 A231952 A223018

Adjacent sequences: A230969 A230970 A230971 * A230973 A230974 A230975

Keyword

nonn

Author

R. H. Hardin, Nov 02 2013

Status

approved