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 A223263 T(n,k)=Rolling icosahedron footprints: number of nXk 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or vertical neighbor moves along an icosahedral edge 6
 1, 5, 5, 25, 65, 25, 125, 845, 845, 125, 625, 10985, 28885, 10985, 625, 3125, 142805, 988625, 988625, 142805, 3125, 15625, 1856465, 33841585, 89405945, 33841585, 1856465, 15625, 78125, 24134045, 1158447605, 8093320565, 8093320565 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .....1.........5............25..............125..................625 .....5........65...........845............10985...............142805 ....25.......845.........28885...........988625.............33841585 ...125.....10985........988625.........89405945...........8093320565 ...625....142805......33841585.......8093320565........1940359745365 ..3125...1856465....1158447605.....732779276465......465517850602985 .15625..24134045...39655444525...66349405785905...111705181963446505 .78125.313742585.1357467150905.6007647236699705.26806081975380034085 LINKS R. H. Hardin, Table of n, a(n) for n = 1..144 FORMULA Empirical for column k: k=1: a(n) = 5*a(n-1) k=2: a(n) = 13*a(n-1) k=3: a(n) = 38*a(n-1) -129*a(n-2) k=4: a(n) = 118*a(n-1) -2675*a(n-2) +17534*a(n-3) -37105*a(n-4) +10948*a(n-5) +20013*a(n-6) k=5: [order 20] EXAMPLE Some solutions for n=3 k=4 ..0..5..6..2....0..6..5..7....0..7..5..0....0..6..0..7....0..2..1..0 ..6..0..2..0....6..4..6..5....6..5.10..5....6.10..5..0....6..0..7..1 ..0..7..0..1....0..6..5..0....0..7..5..0...10..6.10..5....4..6..0..2 Vertex neighbors: 0.->.1.2.5.6.7 1.->.0.2.3.7.8 2.->.0.1.4.6.8 3.->.1.7.8.9.11 4.->.2.6.8.9.10 5.->.0.6.7.10.11 6.->.0.2.4.5.10 7.->.0.1.3.5.11 8.->.1.2.3.4.9 9.->.3.4.8.10.11 10.->.4.5.6.9.11 11.->.3.5.7.9.10 CROSSREFS Column 1 is A000351(n-1) Column 2 is 5*13^(n-1) Sequence in context: A263798 A257607 A093643 * A189318 A257615 A257624 Adjacent sequences:  A223260 A223261 A223262 * A223264 A223265 A223266 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 19 2013 STATUS approved

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Last modified November 27 07:28 EST 2021. Contains 349365 sequences. (Running on oeis4.)