A210092 Number of (n+1)X6 0..2 arrays containing all values 0..2 with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order

4230, 348621, 29356228, 2488428258, 209465946364, 17494242506253, 1451091848955678, 119700187465721716, 9831330547975913420, 804757041113681008488, 65701936363585553149727, 5353087631363517206263772

Offset

1,1

Comments

Column 5 of A210095

Links

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

Formula

Empirical: a(n) = 202*a(n-1) -14123*a(n-2) +380572*a(n-3) -1438616*a(n-4) -99274709*a(n-5) +1155724795*a(n-6) +8643300216*a(n-7) -166589849398*a(n-8) -274497031426*a(n-9) +11515136131550*a(n-10) -1832292455645*a(n-11) -457188662253503*a(n-12) +336001687563753*a(n-13) +11327503957451248*a(n-14) -9113460943291491*a(n-15) -183665203305943843*a(n-16) +123571425473428963*a(n-17) +2003525661152721986*a(n-18) -990601469663807369*a(n-19) -14981189128638351022*a(n-20) +5154521066328382780*a(n-21) +78057653461845959313*a(n-22) -19250224843040180931*a(n-23) -287532733033011400278*a(n-24) +58417217021953987815*a(n-25) +757126134053256036905*a(n-26) -155693459113620706806*a(n-27) -1433722830312214278540*a(n-28) +348602065891707730366*a(n-29) +1950547820706182800257*a(n-30) -595414185159687071974*a(n-31) -1887300745304252275773*a(n-32) +725686784875169133118*a(n-33) +1269686648151447607271*a(n-34) -608745622735310244088*a(n-35) -568946968704783843248*a(n-36) +341945871757434843792*a(n-37) +155435605971618737334*a(n-38) -124110444593762302930*a(n-39) -19948113914003483822*a(n-40) +27435918496367785268*a(n-41) -714926210446370056*a(n-42) -3322485605775126312*a(n-43) +498971087766745072*a(n-44) +180395158795278272*a(n-45) -44929945871997536*a(n-46) -3093399295952128*a(n-47) +1451280469739136*a(n-48) -24128771207680*a(n-49) -15867004438528*a(n-50) +437469315072*a(n-51) +60523806720*a(n-52)

Example

Some solutions for n=4
..0..0..1..2..1..0....0..1..0..2..1..2....0..1..0..0..2..0....0..1..2..2..1..2
..1..0..1..2..1..0....0..1..0..2..1..1....0..0..0..2..0..0....0..1..1..1..1..1
..0..1..1..1..1..1....0..0..0..2..1..0....1..0..2..2..2..0....0..0..0..0..0..0
..0..0..0..0..1..1....0..1..0..2..1..0....1..0..0..2..2..2....1..1..1..1..0..0
..0..1..1..1..1..1....0..1..0..2..1..0....0..1..0..2..2..1....1..2..2..1..0..0

Crossrefs

Sequence in context: A236725 A345580 A345837 * A035899 A035783 A108007

Adjacent sequences: A210089 A210090 A210091 * A210093 A210094 A210095

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved