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A185838 Number of (n+1)X3 0..2 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace 1
171, 1773, 20097, 222003, 2506851, 28276065, 319126401, 3601102725, 40637462859, 458593005339, 5175210065355, 58401927953289, 659062151345205, 7437478883246883, 83931531974296659, 947162573247121263 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A185845

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=16*a(n-1)-81*a(n-2)+354*a(n-3)-423*a(n-4)-1212*a(n-5)+11545*a(n-6)-26105*a(n-7)+39610*a(n-8)-45245*a(n-9)+44999*a(n-10)-392268*a(n-11)+783566*a(n-12)-3468627*a(n-13)+6420741*a(n-14)-6371674*a(n-15)+3563213*a(n-16)+9619160*a(n-17)-4795228*a(n-18)+26611700*a(n-19)-73660858*a(n-20)+21692189*a(n-21)-69651145*a(n-22)+122552900*a(n-23)+38894274*a(n-24)+38755104*a(n-25)-143115104*a(n-26)-47053152*a(n-27)+38096928*a(n-28)+80391744*a(n-29)-23458176*a(n-30)-26341632*a(n-31)+12151296*a(n-32)-1354752*a(n-33)

EXAMPLE

Some solutions for 5X3

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

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

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

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

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

CROSSREFS

Sequence in context: A221754 A036518 A187133 * A199902 A251223 A186868

Adjacent sequences:  A185835 A185836 A185837 * A185839 A185840 A185841

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 05 2011

STATUS

approved

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Last modified October 2 01:30 EDT 2022. Contains 357191 sequences. (Running on oeis4.)