The On-Line Encyclopedia of Integer Sequences (OEIS)

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A183348

Number of nX6 binary arrays with each 1 adjacent to exactly one 0 vertically and one 0 horizontally
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:35:50 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Jan 04 2011

Discussion

Sat Mar 31

12:35

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

#4 by N. J. A. Sloane at Tue Jan 04 03:10:28 EST 2011

STATUS

proposed

approved

#3 by Ron Hardin at Tue Jan 04 02:52:58 EST 2011

LINKS

R. H. Hardin, <a href="/A183348/b183348.txt">Table of n, a(n) for n = 1..200</a>

#2 by Ron Hardin at Tue Jan 04 02:52:23 EST 2011

NAME

allocated for Ron HardinNumber of nX6 binary arrays with each 1 adjacent to exactly one 0 vertically and one 0 horizontally

DATA

1, 59, 144, 387, 1738, 6388, 21613, 80265, 293909, 1054102, 3826357, 13908756, 50348578, 182488789, 661927393, 2399290143, 8697153598, 31532425599, 114313031784, 414403709932, 1502343342329, 5446419432557, 19744616103905

OFFSET

1,2

COMMENTS

Column 6 of A183352

FORMULA

Empirical: a(n)=a(n-1)+3*a(n-2)+22*a(n-3)+20*a(n-4)-19*a(n-5)-93*a(n-6)-123*a(n-7)+61*a(n-8)+266*a(n-9)+98*a(n-10)-170*a(n-11)-107*a(n-12)+6*a(n-13)+6*a(n-14)+2*a(n-15)+17*a(n-16)-4*a(n-17)+10*a(n-18)+a(n-20)

EXAMPLE

Some solutions for 5X6

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Jan 04 2011

STATUS

approved

proposed

#1 by Ron Hardin at Tue Jan 04 02:44:21 EST 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved