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A223203 Rolling icosahedron face footprints: number of n X n 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal or vertical neighbor moves across an icosahedral edge 0

%I #5 Dec 18 2015 18:18:29

%S 1,15,657,90111,39868737,57728430255,275769851453745,

%T 4367470887097715487,230051556728875753924449,

%U 40390820217552511124819066703

%N Rolling icosahedron face footprints: number of n X n 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal or vertical neighbor moves across an icosahedral edge

%C Diagonal of A223209

%e Some solutions for n=3

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

%e ..1..0..2....5..0..5....2..0..5....5..0..5....5..7.11....2..3..2....1..0..1

%e ..0..5..0....0..5..9....0..2..0....0..5..7....7.11.12....8..2..3....6..1..6

%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 1,2

%A _R. H. Hardin_ Mar 18 2013

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Last modified April 24 10:49 EDT 2024. Contains 371935 sequences. (Running on oeis4.)