A223231 Rolling icosahedron footprints: number of nX6 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge

3125, 753005, 236027705, 78951770585, 27049155640325, 9343721361109325, 3237164242739054345, 1122694859942471556185, 389510525064654891088085, 135155431698699358247850605, 46899472272729726654991007705

Offset

1,1

Comments

Column 6 of A223233

Links

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

Formula

Empirical: a(n) = 525*a(n-1) -66702*a(n-2) +1331899*a(n-3) +153275287*a(n-4) -7341587858*a(n-5) +30374971203*a(n-6) +3824146236752*a(n-7) -75111050134232*a(n-8) +205037655577424*a(n-9) +6460684913361019*a(n-10) -49290095118307364*a(n-11) -140021336623195442*a(n-12) +2200689678890462843*a(n-13) -1458667313500165314*a(n-14) -37187688159845953965*a(n-15) +75037715810598760272*a(n-16) +230357416636661884542*a(n-17) -652626536223111303870*a(n-18) -496313838990773846658*a(n-19) +2029968756189631881972*a(n-20) +256192718593072185252*a(n-21) -2481072401873869960176*a(n-22) +64389835845560317824*a(n-23) +1236374401394896182000*a(n-24) -45277328877999388704*a(n-25) -205116615409293840384*a(n-26)

Example

Some solutions for n=3
..0..6..0..5..6.10....0..6..0..1..0..1....0..6..4..2..0..2....0..6..0..2..0..2
..0..6..0..5..6..5....0..6..0..1..0..5....0..6..0..2..0..7....0..6..0..7..0..7
..0..6..0..5..6..2....0..6..0..1..7..1....0..6..0..7..1..7....0..6..0..2..0..2
Vertex neighbors:
0 -> 1 2 5 6 7
1 -> 0 2 3 7 8
2 -> 0 1 4 6 8
3 -> 1 7 8 9 11
4 -> 2 6 8 9 10
5 -> 0 6 7 10 11
6 -> 0 2 4 5 10
7 -> 0 1 3 5 11
8 -> 1 2 3 4 9
9 -> 3 4 8 10 11
10 -> 4 5 6 9 11
11 -> 3 5 7 9 10

Crossrefs

Sequence in context: A017045 A017129 A017225 * A017333 A265933 A017453

Adjacent sequences: A223228 A223229 A223230 * A223232 A223233 A223234

Keyword

nonn

Author

R. H. Hardin Mar 18 2013

Status

approved