A232592 Number of (3+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal

4, 124, 42, 996, 606, 8104, 7568, 66744, 82132, 556612, 836046, 4691760, 8187072, 39925804, 78178630, 342580066, 733698936, 2960354254, 6801151306, 25734466516, 62477896160, 224824244852, 570101087316, 1972190659984, 5175766221764

Offset

1,1

Comments

Row 3 of A232589

Links

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

Formula

Empirical: a(n) = 10*a(n-2) +8*a(n-3) -16*a(n-4) -56*a(n-5) -27*a(n-6) +64*a(n-7) +154*a(n-8) +50*a(n-9) -123*a(n-10) -248*a(n-11) -60*a(n-12) +168*a(n-13) +246*a(n-14) +40*a(n-15) -138*a(n-16) -128*a(n-17) -27*a(n-18) +40*a(n-19) +30*a(n-20) +14*a(n-21) +a(n-22) -a(n-24) for n>26

Example

Some solutions for n=7
..2..1..0..1..2..1..0..1....0..1..2..1..0..2..1..0....0..1..2..0..1..2..1..0
..0..1..2..1..2..1..2..1....2..1..0..2..1..0..1..2....0..1..2..0..1..2..1..0
..2..1..0..1..2..1..0..2....2..1..0..2..1..0..1..0....2..0..1..0..1..0..1..0
..2..1..2..1..0..2..1..0....0..2..1..0..1..2..1..2....1..2..1..0..1..2..1..0

Crossrefs

Sequence in context: A064681 A219871 A263550 * A005936 A241648 A197779

Adjacent sequences: A232589 A232590 A232591 * A232593 A232594 A232595

Keyword

nonn

Author

R. H. Hardin, Nov 26 2013

Status

approved