A230394 Number of nX3 0..4 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero

0, 0, 0, 82, 842, 9068, 92538, 934880, 9391704, 94049146, 940967692, 9409481866, 94075413676, 940474931730, 9401616117802, 93983330933630, 939498690750080, 9391614438889102, 93882313126131660, 938484434686401706

Offset

1,4

Comments

Column 3 of A230398

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -44*a(n-2) -93*a(n-3) +286*a(n-4) +436*a(n-5) -67*a(n-6) +325*a(n-7) -11029*a(n-8) +15289*a(n-9) -26186*a(n-10) -6615*a(n-11) +169842*a(n-12) +107741*a(n-13) -150081*a(n-14) -406239*a(n-15) -608005*a(n-16) -626380*a(n-17) -386401*a(n-18) -9896*a(n-19) +315811*a(n-20) +450618*a(n-21) +409245*a(n-22) +287634*a(n-23) +136108*a(n-24) +22145*a(n-25) -20032*a(n-26) -15466*a(n-27) -9896*a(n-28) -2168*a(n-29) +3352*a(n-30) +2352*a(n-31)

Example

Some solutions for n=7
..0..4..3....0..1..2....0..1..0....0..1..2....0..1..0....0..4..3....0..4..3
..1..2..3....4..3..3....0..2..1....3..4..3....4..2..4....1..4..2....1..1..2
..0..3..4....3..0..4....1..3..4....2..0..2....4..3..3....2..0..1....2..0..1
..4..1..0....2..1..3....2..1..0....0..1..2....0..1..0....3..4..0....3..4..3
..3..2..1....4..0..3....3..2..4....4..4..3....4..2..3....3..3..4....2..1..0
..0..1..0....3..2..4....4..3..3....3..0..4....3..2..4....4..2..3....4..0..4
..2..3..4....0..1..0....0..1..2....2..1..3....2..1..0....0..1..2....3..2..1

Crossrefs

Sequence in context: A128959 A305682 A317062 * A316929 A317700 A173356

Adjacent sequences: A230391 A230392 A230393 * A230395 A230396 A230397

Keyword

nonn

Author

R. H. Hardin, Oct 18 2013

Status

approved