The On-Line Encyclopedia of Integer Sequences (OEIS)

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A198529

Number of 2nX4 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly one horizontal or vertical neighbor
(history; published version)

#6 by Russ Cox at Sat Mar 31 12:36:34 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Oct 26 2011

Discussion

Sat Mar 31

12:36

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

#5 by Ron Hardin at Wed Oct 26 13:08:28 EDT 2011

STATUS

editing

approved

#4 by Ron Hardin at Wed Oct 26 13:08:24 EDT 2011

LINKS

R. H. Hardin, <a href="/A198529/b198529.txt">Table of n, a(n) for n = 1..200</a>

#3 by Ron Hardin at Wed Oct 26 13:08:01 EDT 2011

NAME

allocated for Ron HardinNumber of 2nX4 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly one horizontal or vertical neighbor

DATA

12, 206, 3838, 74582, 1481214, 29737425, 600187403, 12144602583, 246046084954, 4987787543526, 101140166737445, 2051157938501522, 41600949234763960, 843764349062814286, 17113771581568185569, 347115075675201580800

OFFSET

1,1

COMMENTS

Column 2 of A198532

FORMULA

Empirical: a(n) = 42*a(n-1) -599*a(n-2) +3637*a(n-3) -8567*a(n-4) -1138*a(n-5) +28475*a(n-6) -23674*a(n-7) -2916*a(n-8) +112776*a(n-9) -163480*a(n-10) -147783*a(n-11) -101412*a(n-12) -148912*a(n-13) +747248*a(n-14) +967680*a(n-15) -1452032*a(n-16) -4042752*a(n-17) -7405568*a(n-18) -7340032*a(n-19) -4194304*a(n-20)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Oct 26 2011

STATUS

approved

editing

#2 by Ron Hardin at Wed Oct 26 13:06:07 EDT 2011

KEYWORD

allocating

allocated

#1 by Ron Hardin at Wed Oct 26 13:06:07 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocating

STATUS

approved