login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A223185 Rolling icosahedron footprints: number of nX7 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, vertical or antidiagonal neighbor moves along an icosahedral edge 1
15625, 20480, 298240, 5274720, 100734400, 1978496760, 39288329040, 783477286880, 15649402486000, 312770780957680, 6252336965690240, 124994057100215760, 2498886647844053120, 49958192537794251840 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A223186
LINKS
FORMULA
Empirical: a(n) = 66*a(n-1) -1994*a(n-2) +38728*a(n-3) -560345*a(n-4) +6524130*a(n-5) -63671988*a(n-6) +531974880*a(n-7) -3848127650*a(n-8) +24271100034*a(n-9) -134248443158*a(n-10) +655104948054*a(n-11) -2840396229946*a(n-12) +11036021680176*a(n-13) -38791547925412*a(n-14) +124494074580576*a(n-15) -367351231567847*a(n-16) +999423446499110*a(n-17) -2499682520503839*a(n-18) +5690193562332578*a(n-19) -11551701732786876*a(n-20) +20071834370464908*a(n-21) -26876930663729930*a(n-22) +16317455183578594*a(n-23) +48424143854136547*a(n-24) -232211807643068642*a(n-25) +619464131345898580*a(n-26) -1282603906919244192*a(n-27) +2246605267792077403*a(n-28) -3489756978989727022*a(n-29) +4961464486889135750*a(n-30) -6469026702301613346*a(n-31) +7329127932627038108*a(n-32) -6107234316090609958*a(n-33) +1162350802936222707*a(n-34) +7797511221055222740*a(n-35) -18320112533950980909*a(n-36) +25782686710553708814*a(n-37) -26288270304669587613*a(n-38) +19774652510597920460*a(n-39) -10455502060923941526*a(n-40) +3846976781027716952*a(n-41) -2806689875314218244*a(n-42) +5990574561835742408*a(n-43) -9733337958117669182*a(n-44) +11123090360366078896*a(n-45) -9526133271383869478*a(n-46) +6085416185309130020*a(n-47) -2519532035859176458*a(n-48) +198152251562375604*a(n-49) +409467046281215433*a(n-50) +173910200548990740*a(n-51) -953018710281797197*a(n-52) +1224804507173323572*a(n-53) -932642136688428695*a(n-54) +434183935379320384*a(n-55) -72193818175133294*a(n-56) -49906923480155472*a(n-57) +20474695186042204*a(n-58) +35115723175174348*a(n-59) -54464059521030890*a(n-60) +40858228760018700*a(n-61) -19405207254479583*a(n-62) +5489913900342334*a(n-63) -535412982931541*a(n-64) +144399016026068*a(n-65) -656384732198270*a(n-66) +758260979482646*a(n-67) -514336442439891*a(n-68) +247075410873890*a(n-69) -93435139860166*a(n-70) +33799715845024*a(n-71) -15185583427369*a(n-72) +7872340486682*a(n-73) -3646561240884*a(n-74) +1378702706660*a(n-75) -440156846148*a(n-76) +126163892100*a(n-77) -32801670964*a(n-78) +7254467820*a(n-79) -1320516804*a(n-80) +209594608*a(n-81) -28206256*a(n-82) +1579488*a(n-83) +418368*a(n-84) -62144*a(n-85) +6848*a(n-86) -4224*a(n-87) +512*a(n-88) for n>93
EXAMPLE
Some solutions for n=3
..0..1..8..3.11.10..4....0..1..7..3..1..2..8....0..1..2..8..4..2..8
..7..3..1..7..5..6.10....7..3..1..7..0..1..2....7..0..1..2..8..4..2
..1..7..3.11.10..5..6....1..8..3..1..2..0..1....1..2..8..4..2..6..0
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
Sequence in context: A205365 A254029 A129152 * A097219 A016818 A016854
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 18 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)