The On-Line Encyclopedia of Integer Sequences (OEIS)

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A202311

Number of (n+2)X4 binary arrays avoiding patterns 001 and 100 in rows and columns
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:47 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Dec 16 2011

Discussion

Sat Mar 31

12:36

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

#4 by Ron Hardin at Fri Dec 16 05:42:09 EST 2011

STATUS

editing

approved

#3 by Ron Hardin at Fri Dec 16 05:42:05 EST 2011

LINKS

R. H. Hardin, <a href="/A202311/b202311.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Fri Dec 16 05:41:44 EST 2011

NAME

allocated for Ron HardinNumber of (n+2)X4 binary arrays avoiding patterns 001 and 100 in rows and columns

DATA

333, 1530, 7835, 41657, 226004, 1235783, 6782829, 37288278, 205145785, 1129013615, 6214483528, 34209181595, 188319539951, 1036704795848, 5707135200185, 31418307187167, 172960983499418, 952168615072689

OFFSET

1,1

COMMENTS

Column 2 of A202317

FORMULA

Empirical: a(n) = 10*a(n-1) -24*a(n-2) -30*a(n-3) +163*a(n-4) -70*a(n-5) -283*a(n-6) +252*a(n-7) +150*a(n-8) -210*a(n-9) +7*a(n-10) +48*a(n-11) -12*a(n-12)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Dec 16 2011

STATUS

approved

editing

#1 by Ron Hardin at Fri Dec 16 05:35:06 EST 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved