The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A208110

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A208110

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

#9 by Bruno Berselli at Thu Jun 28 08:25:20 EDT 2018

STATUS

reviewed

approved

#8 by Joerg Arndt at Thu Jun 28 06:58:46 EDT 2018

STATUS

proposed

reviewed

#7 by Colin Barker at Thu Jun 28 06:54:49 EDT 2018

STATUS

editing

proposed

#6 by Colin Barker at Thu Jun 28 06:54:30 EDT 2018

NAME

Number of 5Xn 5 X n 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

COMMENTS

Row 5 of A208108.

FORMULA

Empirical: a(n) = 2*a(n-1) + 13*a(n-3) + 166*a(n-4) - 176*a(n-5) - 143*a(n-6) - 1452*a(n-8) + 1331*a(n-9).

Empirical g.f.: x*(14 + 168*x + 14*x^2 - 153*x^3 - 319*x^4 - 1595*x^5 - 121*x^6 - 121*x^7 + 1331*x^8) / ((1 - 2*x - 12*x^2 + 11*x^3)*(1 + 12*x^2 - 22*x^4 - 121*x^6)). - Colin Barker, Jun 28 2018

EXAMPLE

Some solutions for n=6:

CROSSREFS

Cf. A208108.

AUTHOR

R. H. Hardin , Feb 23 2012

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 12:37:21 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Feb 23 2012

Discussion

Sat Mar 31

12:37

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

#4 by Ron Hardin at Thu Feb 23 18:09:27 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Thu Feb 23 18:09:24 EST 2012

LINKS

R. H. Hardin, <a href="/A208110/b208110.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Thu Feb 23 18:09:03 EST 2012

NAME

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

DATA

14, 196, 406, 841, 6235, 46225, 134160, 389376, 2189616, 12313081, 42602769, 147403881, 722705166, 3543344676, 13461507270, 51141561025, 233619318395, 1067194368601, 4261393225856, 17016087003136, 74907424036224

OFFSET

1,1

COMMENTS

Row 5 of A208108

FORMULA

Empirical: a(n) = 2*a(n-1) +13*a(n-3) +166*a(n-4) -176*a(n-5) -143*a(n-6) -1452*a(n-8) +1331*a(n-9)

EXAMPLE

Some solutions for n=6

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Feb 23 2012

STATUS

approved

editing

#1 by Ron Hardin at Thu Feb 23 18:00:18 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved