The On-Line Encyclopedia of Integer Sequences (OEIS)

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A208371

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:37:22 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Feb 25 2012

Discussion

Sat Mar 31

12:37

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

#4 by Ron Hardin at Sat Feb 25 18:00:11 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Sat Feb 25 18:00:08 EST 2012

LINKS

R. H. Hardin, <a href="/A208371/b208371.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Sat Feb 25 17:59:48 EST 2012

NAME

allocated for Ron HardinNumber of 5Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically

DATA

14, 196, 1162, 9338, 67396, 507682, 3759574, 28035840, 208473118, 1552012966, 11548657932, 85951552302, 639647232518, 4760383071360, 35427236540514, 263654460924470, 1962148860235116, 14602566762555450, 108674155940051534

OFFSET

1,1

COMMENTS

Row 5 of A208369

FORMULA

Empirical: a(n) = a(n-1) +41*a(n-2) +78*a(n-3) -153*a(n-4) -363*a(n-5) +253*a(n-6) +566*a(n-7) -276*a(n-8) -324*a(n-9) +165*a(n-10) +29*a(n-11) -15*a(n-12)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Feb 25 2012

STATUS

approved

editing

#1 by Ron Hardin at Sat Feb 25 17:52:40 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved