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A198406 Number of 2nX4 0..4 arrays with values 0..4 introduced in row major order and each element equal to exactly one horizontal and vertical neighbor 1
17, 6986, 5057327, 3850206168, 2970439193698, 2302126761338667, 1786986687280410199, 1387873766175721022708, 1078103379003130131290922, 837527575449508082133268374, 650650234699083836241245595580 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A198408

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..135

FORMULA

Empirical: a(n) = 1403*a(n-1) -637645*a(n-2) +137282333*a(n-3) -17017714367*a(n-4) +1364835298243*a(n-5) -76639410634114*a(n-6) +3191366177314634*a(n-7) -102913245326634650*a(n-8) +2655110974709252514*a(n-9) -56105822107307497543*a(n-10) +986291475398066357197*a(n-11) -14549934304060747863295*a(n-12) +180604873121644318910345*a(n-13) -1880215342434918795708997*a(n-14) +16254501107654334238806623*a(n-15) -114428672751561876621350678*a(n-16) +631796189983881823704565522*a(n-17) -2514321032336880134392479756*a(n-18) +5347925101122342370566753634*a(n-19) +9727097826445051324997106402*a(n-20) -128973865442223470466372714984*a(n-21) +465544733754837597013298998827*a(n-22) -452575413995937575160149012181*a(n-23) -2669948561041586277470250159363*a(n-24) +11565485561630547478023894101581*a(n-25) -16146119733854251357028067166756*a(n-26) -8753254832493873362667789236224*a(n-27) +58162767920126386894334761207152*a(n-28) -65759776655639630497334323555328*a(n-29) -36048573355990958566455357654016*a(n-30) +220374955211415260610303706521600*a(n-31) -246003161005043287245236845346816*a(n-32) +33143330588113400413743791472640*a(n-33) +111832429636351618804204019122176*a(n-34) -527529315734277197932414805999616*a(n-35) +519859245372628057219452981215232*a(n-36) +1058694475776505431333536985513984*a(n-37) -841679624865003962817729917878272*a(n-38) -469208913796894475374119736049664*a(n-39) -2462121704883366053036660902330368*a(n-40) -1323072206112891113034422943744000*a(n-41) +641861325273108040372018477006848*a(n-42) +3343601496131615061986933414559744*a(n-43)

EXAMPLE

Some solutions for n=3

..0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0

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

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

..1..2..3..3....0..0..4..0....2..4..1..1....4..4..1..0....1..3..0..2

..2..3..1..0....1..2..4..0....2..4..0..0....1..2..3..2....4..2..0..2

..2..3..1..0....1..2..1..1....1..1..2..2....1..2..3..2....4..2..4..4

CROSSREFS

Sequence in context: A195813 A243481 A287038 * A198533 A192766 A166326

Adjacent sequences:  A198403 A198404 A198405 * A198407 A198408 A198409

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 24 2011

STATUS

approved

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Last modified April 16 23:40 EDT 2021. Contains 343051 sequences. (Running on oeis4.)