A223274 Rolling cube footprints: number of 6Xn 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge

7776, 995328, 1020002304, 659411697664, 534392715870208, 389343801904201728, 300099634959879241728, 224781443200799995854848, 170981358780674940558376960, 129013576934490162920595390464

Offset

1,1

Comments

Row 6 of A223269

Links

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

Formula

Empirical: a(n) = 384*a(n-1) +446464*a(n-2) -67108864*a(n-3) -52881784832*a(n-4) +4312147165184*a(n-5) +2494998041853952*a(n-6) -172245093560877056*a(n-7) -56567744594563825664*a(n-8) +4056230054786020409344*a(n-9) +644319406221573287313408*a(n-10) -49152677749972407368548352*a(n-11) -3878710988338500226623995904*a(n-12) +310939347582341467621952585728*a(n-13) +12871152730646806229128124039168*a(n-14) -1063719785796591567291470875459584*a(n-15) -23908207232954463569578196629192704*a(n-16) +1970557787452381691709019145944170496*a(n-17) +24560537696530709963129597105272782848*a(n-18) -1895084507428041387861060550238750638080*a(n-19) -13078274250527787273500557666098310283264*a(n-20) +864147070795723227965239815572975372992512*a(n-21) +2646035685177217491891200947389429612281856*a(n-22) -146348640365357214366328151164254872382996480*a(n-23) for n>24

Example

Some solutions for n=3
..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
..0..3..1....0..3..1....0..3..4....0..3..0....0..3..0....0..3..0....0..3..0
..1..2..4....4..3..0....0..3..1....0..2..5....1..3..5....4..2..4....4..3..1
..0..2..4....0..2..0....5..3..5....0..4..5....0..3..0....4..2..4....0..3..4
..4..3..5....0..4..0....1..2..5....5..2..0....5..1..5....5..2..5....0..3..0
Face neighbors:
0.->.1.2.3.4
1.->.0.2.3.5
2.->.0.1.4.5
3.->.0.1.4.5
4.->.0.3.2.5
5.->.1.3.4.2

Crossrefs

Sequence in context: A183619 A017141 A017237 * A017345 A017465 A017597

Adjacent sequences: A223271 A223272 A223273 * A223275 A223276 A223277

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved