The On-Line Encyclopedia of Integer Sequences (OEIS)

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A208390

Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:37:23 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 21:36:50 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Sat Feb 25 21:36:46 EST 2012

LINKS

R. H. Hardin, <a href="/A208390/b208390.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Sat Feb 25 21:36:28 EST 2012

NAME

allocated for Ron HardinNumber of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

DATA

122, 76806, 48890520, 31112194860, 19798894881900, 12599441934740388, 8017919094401985204, 5102370957264743298996, 3247000759052439181788564, 2066297024969543787823082196, 1314931443577477050291551747028

OFFSET

1,1

COMMENTS

Column 6 of A208392

FORMULA

Empirical: a(n) = 649*a(n-1) -8088*a(n-2) +32724*a(n-3) -69156*a(n-4) +80352*a(n-5) -46656*a(n-6) for n>7

EXAMPLE

Some solutions for n=4

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

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

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

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

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 21:30:34 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved