The On-Line Encyclopedia of Integer Sequences (OEIS)

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A197094

Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,0,0,1 for x=0,1,2,3,4
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:28 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Oct 10 2011

Discussion

Sat Mar 31

12:36

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Mon Oct 10 05:49:12 EDT 2011

STATUS

editing

approved

#3 by Ron Hardin at Mon Oct 10 05:49:09 EDT 2011

LINKS

R. H. Hardin, <a href="/A197094/b197094.txt">Table of n, a(n) for n = 1..200</a>

#2 by Ron Hardin at Mon Oct 10 05:48:49 EDT 2011

NAME

allocated Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,0,0,1 for Ron Hardinx=0,1,2,3,4

DATA

3, 55, 384, 3477, 30071, 259856, 2253537, 19514155, 169056920, 1464412705, 12685404677, 109886670038, 951885707773, 8245652221757, 71427443730770, 618735770258261, 5359759927360759, 46428585278694262, 402184717612536457

OFFSET

1,1

COMMENTS

Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 1's

Column 4 of A197098

FORMULA

Empirical: a(n) = 4*a(n-1) +24*a(n-2) +113*a(n-3) +220*a(n-4) +289*a(n-5) -162*a(n-6) -133*a(n-7) -927*a(n-8) +1912*a(n-9) -1647*a(n-10) +1077*a(n-11) +1038*a(n-12) +260*a(n-13) -2794*a(n-14) +3652*a(n-15) -4151*a(n-16) +1142*a(n-17) -408*a(n-18) -687*a(n-19) +347*a(n-20) -96*a(n-21) +100*a(n-22) +31*a(n-23) +28*a(n-24) -a(n-25) -3*a(n-26) -a(n-28)

EXAMPLE

Some solutions containing all values 0 to 4 for n=5

..0..1..0..2....0..1..0..0....0..3..0..0....2..0..0..2....0..0..0..2

..1..4..1..0....1..4..1..0....3..0..3..2....0..3..2..0....0..0..0..0

..0..1..0..0....0..1..2..0....0..1..0..0....3..0..1..0....0..1..0..3

..0..0..0..0....0..2..0..3....1..4..1..0....0..1..4..1....1..4..1..0

..0..3..0..0....0..2..0..0....0..1..0..2....0..0..1..0....0..1..0..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Oct 10 2011

STATUS

approved

editing

#1 by Ron Hardin at Mon Oct 10 05:45:19 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved