The On-Line Encyclopedia of Integer Sequences (OEIS)

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A208563

Number of nX4 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal 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 28 2012

Discussion

Sat Mar 31

12:37

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

#4 by Ron Hardin at Tue Feb 28 07:36:03 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Tue Feb 28 07:36:00 EST 2012

LINKS

R. H. Hardin, <a href="/A208563/b208563.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Tue Feb 28 07:35:41 EST 2012

NAME

allocated for Ron HardinNumber of nX4 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors

DATA

14, 464, 16608, 600426, 21758476, 788922798, 28608436530, 1037446303548, 37621813069386, 1364314106628550, 49475379592575628, 1794171379245008334, 65063694331223004978, 2359464864203438340188, 85563454475454135771530

OFFSET

1,1

COMMENTS

Column 4 of A208567

FORMULA

Empirical: a(n) = 61*a(n-1) -1124*a(n-2) +9139*a(n-3) -34187*a(n-4) +44684*a(n-5) +35628*a(n-6) -128720*a(n-7) +102352*a(n-8) -44832*a(n-9) +17472*a(n-10) for n>11

EXAMPLE

Some solutions for n=4

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Feb 28 2012

STATUS

approved

editing

#1 by Ron Hardin at Tue Feb 28 07:31:37 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved