The On-Line Encyclopedia of Integer Sequences (OEIS)

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A208382

Number of 6 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.
(history; published version)

#8 by Alois P. Heinz at Mon Jul 02 09:01:35 EDT 2018

STATUS

proposed

approved

#7 by Colin Barker at Mon Jul 02 08:55:41 EDT 2018

STATUS

editing

proposed

#6 by Colin Barker at Mon Jul 02 08:55:17 EDT 2018

NAME

Number of 6Xn 6 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.

COMMENTS

Row 6 of A208379.

FORMULA

Empirical: a(n) = a(n-1) + 4*a(n-2) + 17*a(n-3) + 11*a(n-4) - 4*a(n-5) + 16*a(n-6) for n>8.

Empirical g.f.: 4*x*(3 + 33*x - 3*x^2 - 15*x^3 - 250*x^4 - 184*x^5 + 96*x^6 - 256*x^7) / (1 - x - 4*x^2 - 17*x^3 - 11*x^4 + 4*x^5 - 16*x^6). - Colin Barker, Jul 02 2018

EXAMPLE

Some solutions for n=4:

CROSSREFS

Cf. A208379.

AUTHOR

R. H. Hardin , Feb 25 2012

STATUS

approved

editing

#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 18:39:09 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Sat Feb 25 18:39:06 EST 2012

LINKS

R. H. Hardin, <a href="/A208382/b208382.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Sat Feb 25 18:38:46 EST 2012

NAME

allocated for Ron HardinNumber of 6Xn 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically

DATA

12, 144, 180, 900, 3200, 10660, 40740, 148240, 526900, 1931300, 7015680, 25336420, 92086020, 334206800, 1211147700, 4394975940, 15944933760, 57827661860, 209781161700, 761003136400, 2760390765620, 10013327220580, 36323344673280

OFFSET

1,1

COMMENTS

Row 6 of A208379

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +17*a(n-3) +11*a(n-4) -4*a(n-5) +16*a(n-6) for n>8

EXAMPLE

Some solutions for n=4

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

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

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

..0..0..1..0....1..0..0..1....0..0..1..0....0..0..1..0....0..1..0..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 18:31:01 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved