A232338 Number of 4Xn 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal

1, 42, 308, 734, 4906, 13170, 82526, 239992, 1398710, 4333362, 23808020, 77703762, 406751730, 1385692672, 6971295054, 24603895150, 119805137680, 435349233940, 2063663956954, 7681867046626, 35616414149972, 135245995065394

Offset

1,2

Comments

Row 4 of A232335

Links

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

Formula

Empirical: a(n) = a(n-1) +15*a(n-2) -7*a(n-3) +8*a(n-4) -40*a(n-5) +8*a(n-6) -14*a(n-7) +38*a(n-8) +12*a(n-9) +3*a(n-10) -11*a(n-11) -27*a(n-12) +7*a(n-13) -6*a(n-14) +20*a(n-15) -5*a(n-16) +5*a(n-17) -7*a(n-18) +a(n-19) -a(n-20) +a(n-21) for n>24

Example

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

Crossrefs

Sequence in context: A272139 A167654 A095266 * A252937 A033277 A362103

Adjacent sequences: A232335 A232336 A232337 * A232339 A232340 A232341

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved