A223362 Rolling cube footprints: number of 7Xn 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal or antidiagonal neighbor moves across a corresponding cube edge

46656, 67108864, 195689447424, 570630428688384, 1778325505192230912, 5617417467128419713024, 17937911731045128424390656, 57521864635406651506997329920, 184928520804269688527323467350016

Offset

1,1

Comments

Row 7 of A223357

Links

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

Formula

Empirical: a(n) = 7040*a(n-1) -17465344*a(n-2) +18800967680*a(n-3) -5309116448768*a(n-4) -7749529751257088*a(n-5) +8887216147871563776*a(n-6) -3856931134576087007232*a(n-7) +531878790929751511924736*a(n-8) +190513388777369932266471424*a(n-9) -93741331145837409444827234304*a(n-10) +12222651524429752285684779974656*a(n-11) +1263810026656038306032296239562752*a(n-12) -551654242165579114325543159492247552*a(n-13) +43085332629682837240804749191541686272*a(n-14) +4872287652438761570329355653127757365248*a(n-15) -1026508698180612029879031419004744959524864*a(n-16) +28871206910743184105746848222880083247890432*a(n-17) +6540175709583032206058076985272862827184390144*a(n-18) -575371596066692387006645352028057086492317581312*a(n-19) -2523619228901320906565606486887706533101261815808*a(n-20) +2349623641089498925710775976637864762211733222719488*a(n-21) -95152890975475098118298655640034501348474058126131200*a(n-22) -1267975436522094077386825701907323687325172579365289984*a(n-23) +199392037012347758180468057735634758937394385475357114368*a(n-24) -6056422377501992768232187451298021893661257010869595799552*a(n-25) +80033047126180179738906315145897746805305031916916440039424*a(n-26) -401734511064747568885490523085290650630550748445698208825344*a(n-27) for n>33

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..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
..4..2..1....0..1..5....0..4..0....4..2..1....4..2..0....4..3..0....1..2..1
..1..0..2....5..1..5....5..2..4....4..2..0....5..1..0....0..4..2....0..2..1
..3..1..5....3..4..0....4..0..2....5..2..0....2..4..0....2..5..3....4..5..4

Crossrefs

Sequence in context: A017346 A017466 A017598 * A143163 A132642 A355307

Adjacent sequences: A223359 A223360 A223361 * A223363 A223364 A223365

Keyword

nonn

Author

R. H. Hardin Mar 19 2013

Status

approved