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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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.

License Agreements, Terms of Use, Privacy Policy. .

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