The On-Line Encyclopedia of Integer Sequences (OEIS)

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A196863

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

#5 by Russ Cox at Sat Mar 31 12:36:27 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Oct 06 2011

Discussion

Sat Mar 31

12:36

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

#4 by Ron Hardin at Thu Oct 06 21:52:52 EDT 2011

STATUS

editing

approved

#3 by Ron Hardin at Thu Oct 06 21:52:48 EDT 2011

LINKS

R. H. Hardin, <a href="/A196863/b196863.txt">Table of n, a(n) for n = 1..264</a>

#2 by Ron Hardin at Thu Oct 06 21:52:25 EDT 2011

NAME

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

DATA

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 6, 12, 12, 6, 1, 1, 9, 26, 35, 26, 9, 1, 1, 13, 56, 102, 102, 56, 13, 1, 1, 19, 113, 281, 473, 281, 113, 19, 1, 1, 28, 235, 787, 1900, 1900, 787, 235, 28, 1, 1, 41, 490, 2237, 7428, 11280, 7428, 2237, 490, 41, 1, 1, 60, 1012, 6346

OFFSET

1,5

COMMENTS

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

Table starts

.1..1....1.....1......1........1.........1..........1............1

.1..2....3.....4......6........9........13.........19...........28

.1..3....7....12.....26.......56.......113........235..........490

.1..4...12....35....102......281.......787.......2237.........6346

.1..6...26...102....473.....1900......7428......29859.......120761

.1..9...56...281...1900....11280.....62298.....350779......1995082

.1.13..113...787...7428....62298....494579....3938849.....31419870

.1.19..235..2237..29859...350779...3938849...44461736....500005832

.1.28..490..6346.120761..1995082..31419870..500005832...7927841482

.1.41.1012.17976.488123.11350977.250968250.5615771466.125246087887

EXAMPLE

Some solutions for n=6 k=4

..0..2..2..2....0..0..0..0....0..0..0..0....0..2..2..0....0..0..0..0

..0..2..0..2....0..0..2..2....0..2..2..2....0..2..2..0....2..2..2..2

..2..2..0..2....0..0..2..2....2..2..0..2....0..0..0..0....2..0..0..2

..2..0..0..2....2..2..0..0....2..0..0..2....0..0..0..0....2..0..0..2

..2..2..0..2....2..2..0..0....2..0..2..2....0..2..2..0....2..0..0..2

..0..2..2..2....0..0..0..0....2..2..2..0....0..2..2..0....2..2..2..2

CROSSREFS

Column 2 is A000930(n+1)

KEYWORD

allocated

nonn,tabl

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Oct 06 2011

STATUS

approved

editing

#1 by Ron Hardin at Thu Oct 06 21:46:36 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved