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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A223600 Petersen graph (8,2) coloring a rectangular array: number of 2 X n 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph. 1
256, 256, 1504, 6736, 32768, 156592, 755200, 3643024, 17608064, 85179184, 412367104, 1997306896, 9677417600, 46900761520, 227339596288, 1102103488912, 5343259128704, 25906912147504, 125615423519488, 609091866864400 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A223599.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 6*a(n-1) + 3*a(n-2) - 42*a(n-3) - 8*a(n-4) + 48*a(n-5) for n>6.

Empirical g.f.: 16*x*(16 - 80*x - 50*x^2 + 481*x^3 + 40*x^4 - 456*x^5) / ((1 + 2*x)*(1 - 8*x + 13*x^2 + 16*x^3 - 24*x^4)). - Colin Barker, Aug 21 2018

EXAMPLE

Some solutions for n=3:

..2..3..4...11..3..4....0..8.14...15..7..0...15..9..1....3..4..3....9.15..7

.11..3..2....4..3..4...10..8.10....0..7..0...11..9.15....5..4..5...13.15..9

CROSSREFS

Cf. A223599.

Sequence in context: A186474 A093861 A248776 * A217848 A044872 A044979

Adjacent sequences: A223597 A223598 A223599 * A223601 A223602 A223603

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 23 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 December 6 04:57 EST 2022. Contains 358594 sequences. (Running on oeis4.)