A232587 Number of (n+1)X(6+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

70, 690, 8104, 93236, 1079300, 12486510, 144506106, 1672314806, 19353375198, 223972627480, 2591990800908, 29996594823464, 347144643738454, 4017436125487796, 46492991691492538, 538054174106467882

Offset

1,1

Comments

Column 6 of A232589

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +9*a(n-2) -167*a(n-3) -12*a(n-4) +939*a(n-5) -314*a(n-6) -2754*a(n-7) +2190*a(n-8) +4330*a(n-9) -6045*a(n-10) -2542*a(n-11) +7749*a(n-12) -2051*a(n-13) -3957*a(n-14) +2749*a(n-15) +541*a(n-16) -459*a(n-17) -6*a(n-18) -169*a(n-19) -4*a(n-20) -40*a(n-21) -2*a(n-22) +4*a(n-23) for n>27

Example

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

Crossrefs

Sequence in context: A235488 A199829 A271495 * A027804 A212236 A177298

Adjacent sequences: A232584 A232585 A232586 * A232588 A232589 A232590

Keyword

nonn

Author

R. H. Hardin, Nov 26 2013

Status

approved