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A203369 Number of nX6 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by both a 1 and a 0 1
13, 1399, 85932, 6026844, 406389748, 27758308569, 1887519232797, 128552812110552, 8750345003171810, 595739225079481338, 40556127148524190685, 2761006951604175940161, 187964042399489425012116 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A203371

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 13*a(n-1) +2434*a(n-2) +70778*a(n-3) +1142018*a(n-4) +9310253*a(n-5) +11416837*a(n-6) -618809678*a(n-7) -5394431014*a(n-8) -1477201792*a(n-9) +284621717346*a(n-10) +996764450000*a(n-11) -7928649661916*a(n-12) -100025295452118*a(n-13) +611906421413217*a(n-14) +4062245988186985*a(n-15) -40331450485521797*a(n-16) -104465565143410809*a(n-17) +3273476804854413547*a(n-18) -24069627531066673993*a(n-19) +104115753462161528316*a(n-20) -302649095625637967235*a(n-21) +577772388540025438289*a(n-22) -480262040077833097572*a(n-23) -853964362539101626318*a(n-24) +3032287388724435029648*a(n-25) -3275284207809125169986*a(n-26) +507798977424566567795*a(n-27) +9218614782394358962120*a(n-28) -37293866493438520284257*a(n-29) +64112927707974079792188*a(n-30) -47825600872366031315872*a(n-31) -32289044003717622221183*a(n-32) +129629853376751941215570*a(n-33) +15777118375551060307770*a(n-34) -639335896703697675257490*a(n-35) +1731292252572997797616457*a(n-36) -1578553063932179968626878*a(n-37) -1517460400811407401697595*a(n-38) +3766303289118373822046398*a(n-39) -9243814075263945727265153*a(n-40) +21407993999169916717011040*a(n-41) -26703398932474805790259603*a(n-42) +41953199078847176485191845*a(n-43) -41219768734422053314620127*a(n-44) -47829679172131556323453596*a(n-45) +102390488183493037912743776*a(n-46) -36218139387791570284318985*a(n-47) +20542340345000860143877772*a(n-48) -87061458895678669261731834*a(n-49) +86325196125637286578321926*a(n-50) +10049252570623386511165576*a(n-51) -35600351982780487539710063*a(n-52) -59944329239867771804973105*a(n-53) -65436663591433405806857258*a(n-54) -90900140620455639110580967*a(n-55) +36485902864148222529412113*a(n-56) +130061157673143747646022572*a(n-57) +153732793860981653762373932*a(n-58) +147439171302141903832123384*a(n-59) +75109114336263847035844836*a(n-60) +8961712139285438040739963*a(n-61) -30193405103230936831913898*a(n-62) -32346283909114887896129550*a(n-63) -27955825560257469952073958*a(n-64) -15016258081647248359772943*a(n-65) -7666962199477331874319409*a(n-66) -3486007390687047277744488*a(n-67) -1359447622513424045427312*a(n-68) -481584167431867377466524*a(n-69) -105684059293890822408884*a(n-70) -38805771281433176512760*a(n-71) -2928726020353639117160*a(n-72) -6578529385893233459344*a(n-73) -657184028250120362368*a(n-74) -1166609644128981362496*a(n-75) -246271921255327199872*a(n-76) -148237400316779684096*a(n-77) -59271197654712794624*a(n-78) -11968836043259241472*a(n-79) -5845540131664130048*a(n-80) -98725841709154304*a(n-81) -318169013898608640*a(n-82) +16438910744592384*a(n-83) -7075893157560320*a(n-84) +376705932853248*a(n-85) -18275295559680*a(n-86) -2864273424384*a(n-87) -628138967040*a(n-88)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A222017 A238562 A196966 * A350305 A197097 A353030

Adjacent sequences:  A203366 A203367 A203368 * A203370 A203371 A203372

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 31 2011

STATUS

approved

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Last modified May 27 11:47 EDT 2022. Contains 354097 sequences. (Running on oeis4.)