A223349 3X3X3 triangular graph without horizontal edges coloring a rectangular array: number of nX5 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

140, 4908, 202264, 7918948, 329268616, 12912752876, 537001573656, 21060038730884, 875825392204488, 34348003384801484, 1428433095896220376, 56020099749013006372, 2329712263359378360328, 91366346681513601154476

Offset

1,1

Comments

Column 5 of A223352

Links

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

Formula

Empirical: a(n) = 1711*a(n-2) -132500*a(n-4) +3202240*a(n-6) -28936448*a(n-8) +102379520*a(n-10) -106561536*a(n-12) for n>13

Example

Some solutions for n=3
..1..0..2..4..1....0..1..0..2..5....4..1..4..1..3....0..2..0..2..4
..3..1..0..2..0....1..4..2..5..2....1..3..1..0..1....2..0..2..4..2
..1..0..2..0..2....0..1..0..2..0....0..1..4..1..0....0..2..4..2..5

Crossrefs

Sequence in context: A264310 A128193 A061607 * A282613 A202786 A035820

Adjacent sequences: A223346 A223347 A223348 * A223350 A223351 A223352

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved