A232519 Number of (4+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal

16, 784, 400, 19138, 10118, 475086, 270400, 11784356, 7140010, 292330336, 188043058, 7252216630, 4934734294, 179925026928, 129109909224, 4464133177230, 3368749724012, 110766190099038, 87681691291582, 2748538208103026

Offset

1,1

Comments

Row 4 of A232515

Links

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

Formula

Empirical: a(n) = a(n-1) +22*a(n-2) -20*a(n-3) +77*a(n-4) -95*a(n-5) -213*a(n-6) +34*a(n-7) -308*a(n-8) +324*a(n-9) +783*a(n-10) -62*a(n-11) +308*a(n-12) -271*a(n-13) -1055*a(n-14) +343*a(n-15) +626*a(n-16) -53*a(n-17) -137*a(n-18) +5*a(n-19) +48*a(n-20) -84*a(n-21) -36*a(n-22) +36*a(n-23)

Example

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

Crossrefs

Sequence in context: A215171 A224736 A374606 * A231083 A173984 A364510

Adjacent sequences: A232516 A232517 A232518 * A232520 A232521 A232522

Keyword

nonn

Author

R. H. Hardin, Nov 25 2013

Status

approved