The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A188774

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A188774

T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 vertically or horizontally
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:13 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Apr 09 2011

Discussion

Sat Mar 31

12:36

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

#4 by Ron Hardin at Sat Apr 09 23:06:07 EDT 2011

STATUS

proposed

approved

#3 by Ron Hardin at Sat Apr 09 23:06:03 EDT 2011

LINKS

R. H. Hardin, <a href="/A188774/b188774.txt">Table of n, a(n) for n = 1..287</a>

#2 by Ron Hardin at Sat Apr 09 23:05:40 EDT 2011

NAME

allocated for Ron HardinT(n,k)=Number of nXk binary arrays without the pattern 0 1 0 vertically or horizontally

DATA

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 240, 144, 21, 37, 441, 1103, 1103, 441, 37, 65, 1369, 5357, 7868, 5357, 1369, 65, 114, 4225, 26564, 60215, 60215, 26564, 4225, 114, 200, 12996, 130828, 471349, 738031, 471349, 130828, 12996, 200, 351, 40000, 641137

OFFSET

1,1

COMMENTS

Table starts

...2......4........7.........12...........21.............37...............65

...4.....16.......49........144..........441...........1369.............4225

...7.....49......240.......1103.........5357..........26564...........130828

..12....144.....1103.......7868........60215.........471349..........3658041

..21....441.....5357......60215.......738031........9260851........114928827

..37...1369....26564.....471349......9260851......186969392.......3725504150

..65...4225...130828....3658041....114928827.....3725504150.....118984786902

.114..12996...641137...28240356...1418719059....73772281769....3772804871287

.200..40000..3143331..218167554..17534258973..1462969839335..119816916752612

.351.123201.15426387.1687182731.216934553467.29048017912245.3810670337663147

EXAMPLE

Some solutions for 5X3

..0..1..1....1..1..1....1..1..0....0..0..1....0..0..1....0..0..0....1..0..0

..0..0..0....1..1..0....1..1..0....0..0..0....1..0..1....0..0..0....1..1..1

..1..1..0....0..0..0....1..0..0....0..0..1....1..0..1....0..0..1....1..1..1

..1..1..1....0..0..1....1..1..1....0..1..1....1..0..0....0..0..1....0..0..1

..0..1..1....0..1..1....0..1..1....1..1..1....0..0..0....1..0..0....0..0..1

CROSSREFS

Column 1 is A005251(n+3)

Column 2 is A188501

KEYWORD

allocated

nonn,tabl

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Apr 09 2011

STATUS

approved

proposed

#1 by Ron Hardin at Sat Apr 09 22:56:36 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved