A223427 5X5X5 triangular graph without horizontal edges coloring a rectangular array: number of nX3 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 3,6 3,7 4,7 4,8 5,8 5,9 6,10 6,11 7,11 7,12 8,12 8,13 9,13 9,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

120, 1648, 25436, 394736, 6256832, 98783592, 1575629948, 24993296408, 399339124688, 6343618034616, 101407143454528, 1611628793976896, 25766710390525620, 409564700700266752, 6548402342102019564

Offset

1,1

Comments

Column 3 of A223432

Links

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

Formula

Empirical: a(n) = 466*a(n-2) -69185*a(n-4) +4382193*a(n-6) -130562793*a(n-8) +2110263466*a(n-10) -20078358067*a(n-12) +116999028688*a(n-14) -423034699529*a(n-16) +947474341907*a(n-18) -1308325237689*a(n-20) +1105531342712*a(n-22) -563527872936*a(n-24) +167881696044*a(n-26) -27388441192*a(n-28) +2145049440*a(n-30) -57784320*a(n-32) for n>33

Example

Some solutions for n=3
..7..3..1....4..7..3....1..4..7....6.11..7....3..6..3...11..7..4....4..7.11
..3..7..4....1..3..1....4..7.12....3..6.11....7.11..6....7..4..2....7.11..7
..1..4..8....0..1..0....8.12..7....6.11..6...11..6.10...12..8..5...12..7.11

Crossrefs

Sequence in context: A257996 A183597 A027795 * A282899 A340580 A053567

Adjacent sequences: A223424 A223425 A223426 * A223428 A223429 A223430

Keyword

nonn

Author

R. H. Hardin Mar 20 2013

Status

approved