The On-Line Encyclopedia of Integer Sequences (OEIS)

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A209510

Half the number of (n+1)X8 0..2 arrays with every 2X2 subblock having two or four distinct clockwise edge differences
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:37:29 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Mar 09 2012

Discussion

Sat Mar 31

12:37

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

#4 by Ron Hardin at Fri Mar 09 20:32:40 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Fri Mar 09 20:32:37 EST 2012

LINKS

R. H. Hardin, <a href="/A209510/b209510.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Fri Mar 09 20:32:17 EST 2012

NAME

allocated for Ron HardinHalf the number of (n+1)X8 0..2 arrays with every 2X2 subblock having two or four distinct clockwise edge differences

DATA

6561, 242889, 9225765, 353991129, 13642432110, 526815563193, 20362314816594, 787378099628577, 30452815417249224, 1177911989563198242, 45563556788314601670, 1762509641645545600089, 68178848629430688643791

OFFSET

1,1

COMMENTS

Column 7 of A209511

FORMULA

Empirical: a(n) = 105*a(n-1) -4473*a(n-2) +105654*a(n-3) -1580037*a(n-4) +16082595*a(n-5) -116408090*a(n-6) +616031475*a(n-7) -2425718097*a(n-8) +7181467374*a(n-9) -16063429749*a(n-10) +27150592284*a(n-11) -34525830041*a(n-12) +32730104655*a(n-13) -22785383754*a(n-14) +11380763892*a(n-15) -3932260752*a(n-16) +884206944*a(n-17) -115250048*a(n-18) +6527616*a(n-19)

EXAMPLE

Some solutions for n=4

..1..2..0..1..2..0..2..0....1..2..0..1..0..1..2..1....0..1..0..1..0..1..2..0

..2..0..1..2..0..1..0..1....0..1..2..0..1..2..0..2....1..2..1..2..1..2..0..2

..0..1..2..1..2..0..1..2....1..0..1..2..0..1..2..0....2..1..2..1..2..0..1..0

..2..0..1..2..0..1..2..1....2..1..2..0..1..2..0..1....0..2..0..2..1..2..0..1

..0..1..2..0..1..2..0..2....0..2..0..2..0..1..2..0....1..0..2..0..2..0..2..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Mar 09 2012

STATUS

approved

editing

#1 by Ron Hardin at Fri Mar 09 20:25:40 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved