The On-Line Encyclopedia of Integer Sequences (OEIS)

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A207601

Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:37:18 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Feb 19 2012

Discussion

Sat Mar 31

12:37

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

#4 by Ron Hardin at Sun Feb 19 07:57:08 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Sun Feb 19 07:57:05 EST 2012

LINKS

R. H. Hardin, <a href="/A207601/b207601.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Sun Feb 19 07:56:45 EST 2012

NAME

allocated for Ron HardinNumber of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically

DATA

8, 64, 168, 441, 1995, 9025, 30400, 102400, 403520, 1590121, 5746377, 20766249, 78708504, 298321984, 1101003640, 4063425025, 15221477315, 57019231369, 211813620480, 786839961600, 2936720666880, 10960714625809, 40800212085841

OFFSET

1,1

COMMENTS

Row 4 of A207599

FORMULA

Empirical: a(n) = a(n-1) -3*a(n-2) +16*a(n-3) +88*a(n-4) +72*a(n-5) +312*a(n-6) -936*a(n-8) -648*a(n-9) -2376*a(n-10) -1296*a(n-11) +729*a(n-12) -729*a(n-13) +2187*a(n-14)

EXAMPLE

Some solutions for n=4

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Feb 19 2012

STATUS

approved

editing

#1 by Ron Hardin at Sun Feb 19 07:51:06 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved