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 A223198 Rolling cube footprints: number of n X 4 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal or vertical neighbor moves across a corresponding cube edge. 1
 64, 6912, 765952, 85327872, 9515827200, 1061444124672, 118404195287040, 13208119651860480, 1473383170773614592, 164357898631630553088, 18334348775748242767872, 2045221757767217986928640 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 4 of A223202. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 144*a(n-1) - 3840*a(n-2) + 24576*a(n-3). Empirical g.f.: 64*x*(1 - 36*x + 256*x^2) / (1 - 144*x + 3840*x^2 - 24576*x^3). - Colin Barker, Aug 17 2018 EXAMPLE Some solutions for n=3: ..0..2..5..2....0..3..5..3....0..3..1..3....0..1..0..2....0..2..4..5 ..3..1..3..4....3..4..2..0....3..0..3..0....3..0..3..4....3..4..0..4 ..1..3..4..2....1..5..1..2....4..2..0..1....0..3..5..2....1..0..1..0 Face neighbors: 0,5 -> 1 2 3 4 1,4 -> 0 2 3 5 2,3 -> 0 1 4 5 CROSSREFS Cf. A223202. Sequence in context: A333583 A183243 A264075 * A281836 A299080 A299843 Adjacent sequences: A223195 A223196 A223197 * A223199 A223200 A223201 KEYWORD nonn AUTHOR R. H. Hardin, Mar 18 2013 STATUS approved

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Last modified March 31 04:26 EDT 2023. Contains 361627 sequences. (Running on oeis4.)