A221115 Number of 3Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops

0, 0, 8, 178, 2952, 45842, 693362, 10369358, 154285828, 2290284810, 33961683620, 503356596054, 7458718434538, 110511504732170, 1637306438141992, 24257322689168866, 359377884945226688, 5324242140141530362

Offset

1,3

Comments

Row 3 of A221114

Links

R. H. Hardin, Table of n, a(n) for n = 1..53

Formula

Empirical: a(n) = 24*a(n-1) -144*a(n-2) +46*a(n-3) +1135*a(n-4) -908*a(n-5) -3663*a(n-6) +2438*a(n-7) +6528*a(n-8) -4340*a(n-9) -5525*a(n-10) +5164*a(n-11) -674*a(n-12) -528*a(n-13) -32*a(n-14) for n>15

Example

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

Crossrefs

Sequence in context: A099175 A000839 A001596 * A159326 A089456 A298995

Adjacent sequences: A221112 A221113 A221114 * A221116 A221117 A221118

Keyword

nonn

Author

R. H. Hardin Jan 02 2013

Status

approved