The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A223333 Rolling cube footprints: number of 4 X n 0..7 arrays starting with 0 where 0..7 label vertices of a cube and every array movement to a horizontal or antidiagonal neighbor moves along a corresponding cube edge. 1
 512, 2187, 83349, 3176523, 121264857, 4630596579, 176834343105, 6753068175483, 257891143282857, 9848539671395859, 376103406869296785, 14362918587487614123, 548501892736263190137, 20946601106278812695619 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 48*a(n-1) - 402*a(n-2) + 1064*a(n-3) - 789*a(n-4) for n>7. Empirical g.f.: x*(512 - 22389*x + 184197*x^2 - 489823*x^3 + 375051*x^4 - 112104*x^5 + 121716*x^6) / ((1 - 3*x)*(1 - 45*x + 267*x^2 - 263*x^3)). - Colin Barker, Aug 19 2018 EXAMPLE Some solutions for n=3: ..0..2..0....0..1..0....0..2..3....0..1..0....0..1..3....0..4..5....0..1..0 ..6..2..3....0..1..0....6..7..3....0..2..0....3..1..0....5..4..5....5..4..5 ..6..7..5....0..1..3....3..7..6....3..1..3....5..1..0....0..1..0....0..1..0 ..3..1..3....5..1..0....6..2..6....0..1..0....3..1..5....3..2..6....0..4..5 Vertex neighbors: 0 -> 1 2 4 1 -> 0 3 5 2 -> 0 3 6 3 -> 1 2 7 4 -> 0 5 6 5 -> 1 4 7 6 -> 2 4 7 7 -> 3 5 6 CROSSREFS Row 4 of A223331. Sequence in context: A203451 A251192 A251187 * A135273 A258522 A258519 Adjacent sequences:  A223330 A223331 A223332 * A223334 A223335 A223336 KEYWORD nonn AUTHOR R. H. Hardin, Mar 19 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 20 09:27 EDT 2021. Contains 345162 sequences. (Running on oeis4.)