A223479 - OEIS

%I #4 Mar 20 2013 11:53:28

%S 729,84375,11374425,1588785975,223894186425,31621425535575,

%T 4468456626780825,631526586023769975,89256484380983132025,

%U 12615117535169199386775,1782968370270784918644825

%N Rolling icosahedron face footprints: number of nX7 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

%C Column 7 of A223480

%H R. H. Hardin, <a href="/A223479/b223479.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 227*a(n-1) -14764*a(n-2) +411840*a(n-3) -5347200*a(n-4) +29600000*a(n-5) -48000000*a(n-6)

%e Some solutions for n=3

%e ..0..5..0..5..7.11..7....0..5..0..1..4..1..6....0..5..0..5..0..2..0

%e ..0..5..0..5..7..5..9....0..5..0..1..6..1..0....0..5..0..1..0..2..8

%e ..0..5..9..5..9..5..7....0..1..0..1..0..5..0....0..1..4..1..0..2..0

%e Face neighbors:

%e 0 -> 1 2 5

%e 1 -> 0 4 6

%e 2 -> 0 3 8

%e 3 -> 2 4 16

%e 4 -> 3 1 17

%e 5 -> 0 7 9

%e 6 -> 1 7 10

%e 7 -> 6 5 11

%e 8 -> 2 9 13

%e 9 -> 8 5 14

%e 10 -> 6 12 17

%e 11 -> 7 12 14

%e 12 -> 11 10 19

%e 13 -> 8 15 16

%e 14 -> 9 11 15

%e 15 -> 14 13 19

%e 16 -> 3 13 18

%e 17 -> 4 10 18

%e 18 -> 16 17 19

%e 19 -> 15 18 12

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2013