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A185800 Number of (n+1)X3 0..3 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace 1
704, 13440, 260544, 5177344, 104024384, 2091689856, 42093682560, 847003638592, 17044363936064, 342984883288320, 6901954012961472, 138889149973883968, 2794890082844179712, 56242044597486800064, 1131768255782132928320 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A185807

LINKS

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

FORMULA

Empirical: a(n)=35*a(n-1)-454*a(n-2)+3905*a(n-3)-16646*a(n-4)-17907*a(n-5)+949676*a(n-6)-8051993*a(n-7)+41682925*a(n-8)-145051054*a(n-9)+274125122*a(n-10)+232212542*a(n-11)-4891957326*a(n-12)+22568787758*a(n-13)-52952162764*a(n-14)-40197553246*a(n-15)+884511403762*a(n-16)-3849175086718*a(n-17)+12386786882148*a(n-18)-31719905821196*a(n-19)+44680082780334*a(n-20)+58503371604496*a(n-21)-624116103068964*a(n-22)+2471583426312990*a(n-23)-8025230802019217*a(n-24)+23100643729730961*a(n-25)-52410954685702474*a(n-26)+99870156242189745*a(n-27)-183106086725346302*a(n-28)+282874426758050467*a(n-29)-267944916057236664*a(n-30)-84501979059060615*a(n-31)+982257865397375381*a(n-32)-2769960786460148294*a(n-33)+7503773477030521850*a(n-34)-16408969255532390232*a(n-35)+24790965794646922660*a(n-36)-39809538162445401266*a(n-37)+73326743883130370404*a(n-38)-88152723810049981860*a(n-39)+88690256256544688606*a(n-40)-158142366803545853262*a(n-41)+183333104166438307944*a(n-42)-78998084852174982744*a(n-43)+141032721975941852352*a(n-44)-257325656395173610176*a(n-45)+26653160624050682688*a(n-46)+54270729091681913728*a(n-47)+225065674751494199040*a(n-48)-98564884794506065408*a(n-49)-178197029269933901824*a(n-50)-54119922354902036480*a(n-51)+184092856154790076416*a(n-52)+56399964943576768512*a(n-53)-75119022055943995392*a(n-54)-68885215261094412288*a(n-55)+33267791138007416832*a(n-56)+40719151080837218304*a(n-57)-24241304278570106880*a(n-58)-1715033631157125120*a(n-59)+2363911153621401600*a(n-60)+495258590917951488*a(n-61)-402657425573806080*a(n-62)+52241744107929600*a(n-63)

EXAMPLE

Some solutions for 5X3

..0..0..0....0..0..0....2..2..0....0..0..0....2..2..0....2..2..0....0..0..0

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

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

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

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

CROSSREFS

Sequence in context: A185568 A185799 A186916 * A188368 A185569 A238322

Adjacent sequences:  A185797 A185798 A185799 * A185801 A185802 A185803

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 04 2011

STATUS

approved

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Last modified December 5 00:21 EST 2021. Contains 349530 sequences. (Running on oeis4.)