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 A223478 Rolling icosahedron face footprints: number of n X 6 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal or antidiagonal neighbor moves across an icosahedral edge. 1
 243, 16875, 1296675, 101331675, 7939566675, 622332801675, 48783753036675, 3824122400271675, 299770559674506675, 23498831496975741675, 1842059141815703976675, 144397899075877259211675 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 6 of A223480. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 101*a(n-1) -1900*a(n-2) +10000*a(n-3). Empirical g.f.: 27*x*(9 - 284*x + 2000*x^2) / (1 - 101*x + 1900*x^2 - 10000*x^3). - Colin Barker, Aug 20 2018 EXAMPLE Some solutions for n=3: ..0..1..6..1..4..3....0..1..4..1..4..1....0..1..0..5..9..8....0..1..0..2..3.16 ..0..1..0..1..4..1....0..1..4..1..4..3....0..5..9..5..9..5....0..2..0..2..3.16 ..0..1..4..1..6..1....6..1..4..3..2..0....0..5..9.14..9.14....0..2..3..4..3..4 Face neighbors: 0 -> 1 2 5 1 -> 0 4 6 2 -> 0 3 8 3 -> 2 4 16 4 -> 3 1 17 5 -> 0 7 9 6 -> 1 7 10 7 -> 6 5 11 8 -> 2 9 13 9 -> 8 5 14 10 -> 6 12 17 11 -> 7 12 14 12 -> 11 10 19 13 -> 8 15 16 14 -> 9 11 15 15 -> 14 13 19 16 -> 3 13 18 17 -> 4 10 18 18 -> 16 17 19 19 -> 15 18 12 CROSSREFS Cf. A223480. Sequence in context: A233024 A016841 A128833 * A231860 A232946 A223502 Adjacent sequences: A223475 A223476 A223477 * A223479 A223480 A223481 KEYWORD nonn AUTHOR R. H. Hardin, Mar 20 2013 STATUS approved

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Last modified September 21 06:04 EDT 2023. Contains 365486 sequences. (Running on oeis4.)