The On-Line Encyclopedia of Integer Sequences (OEIS)

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A198713

Number of nX6 0..3 arrays with values 0..3 introduced in row major order and no element equal to any horizontal or vertical neighbor
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:35 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Oct 29 2011

Discussion

Sat Mar 31

12:36

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

#4 by Ron Hardin at Sat Oct 29 06:34:01 EDT 2011

STATUS

editing

approved

#3 by Ron Hardin at Sat Oct 29 06:33:57 EDT 2011

LINKS

R. H. Hardin, <a href="/A198713/b198713.txt">Table of n, a(n) for n = 1..200</a>

#2 by Ron Hardin at Sat Oct 29 06:33:37 EDT 2011

NAME

allocated for Ron HardinNumber of nX6 0..3 arrays with values 0..3 introduced in row major order and no element equal to any horizontal or vertical neighbor

DATA

41, 8404, 1749965, 364637102, 75987485516, 15835552812749, 3300094936852775, 687733321797971342, 143322307142433346196, 29868095632655586533219, 6224454258216624967544685, 1297164418016611898106044912

OFFSET

1,1

COMMENTS

Column 6 of A198715

FORMULA

Empirical: a(n) = 313*a(n-1) -25836*a(n-2) +915863*a(n-3) -16213670*a(n-4) +144756201*a(n-5) -517271096*a(n-6) -1142631169*a(n-7) +16130100519*a(n-8) -49834494904*a(n-9) +41222570902*a(n-10) +81411834252*a(n-11) -186980689770*a(n-12) +120589827444*a(n-13) -21008679048*a(n-14)

EXAMPLE

Some solutions with all values from 0 to 3 for n=4

..0..1..0..1..0..2....0..1..0..2..3..0....0..1..0..2..0..3....0..1..0..2..1..2

..1..0..2..3..2..3....1..0..2..0..1..2....1..0..2..0..1..2....1..0..2..0..2..3

..0..1..0..2..3..2....0..1..0..2..0..3....0..1..0..1..0..3....0..1..0..1..0..2

..1..0..1..3..1..3....1..0..3..0..2..0....1..0..2..0..3..2....1..0..3..2..1..3

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Oct 29 2011

STATUS

approved

editing

#1 by Ron Hardin at Sat Oct 29 06:26:24 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved