A210104 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order

2799, 95830, 3125615, 102841182, 3382058727, 111283430198, 3662188386511, 120530162560270, 3967087049431415, 130574878781163590, 4297873984238326975, 141465674364112336606, 4656399600486593129991, 153267603929372883975350

Offset

1,1

Comments

Column 5 of A210107

Links

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

Formula

Empirical: a(n) = 68*a(n-1) -1109*a(n-2) -15132*a(n-3) +533650*a(n-4) -682812*a(n-5) -91388848*a(n-6) +541468084*a(n-7) +8010220974*a(n-8) -76037057944*a(n-9) -380609964150*a(n-10) +5713624684772*a(n-11) +7546313419928*a(n-12) -272240689140684*a(n-13) +185952132990252*a(n-14) +8790130916081940*a(n-15) -18031849778390353*a(n-16) -197980986867193344*a(n-17) +636160628144662267*a(n-18) +3122695677229408840*a(n-19) -14015802619871969522*a(n-20) -33484157496106096408*a(n-21) +214830105901029340796*a(n-22) +215490176857593683592*a(n-23) -2386196515012527746772*a(n-24) -278928178726785919580*a(n-25) +19547830951977668052136*a(n-26) -10058031406426519679456*a(n-27) -118783413433906506268928*a(n-28) +120366274979665650042448*a(n-29) +533880171597066533206896*a(n-30) -778900186987919254121344*a(n-31) -1754277169343190873917504*a(n-32) +3380528371752993713671808*a(n-33) +4110607686089791274598592*a(n-34) -10417505934114336408844032*a(n-35) -6508643137572987893783936*a(n-36) +23248657105901998508654080*a(n-37) +5969723267297107040175616*a(n-38) -37777911031496989203732480*a(n-39) -751674288908450157042688*a(n-40) +44600619081046898666690560*a(n-41) -5794844778782401587208192*a(n-42) -37966938282556065993916416*a(n-43) +8160526737847235042664448*a(n-44) +23005895699982159363768320*a(n-45) -5661409259903212447334400*a(n-46) -9727195323636513269350400*a(n-47) +2227995919449608334737408*a(n-48) +2777538507080041554247680*a(n-49) -472156158151071247630336*a(n-50) -504235867339370029645824*a(n-51) +41294805044945664081920*a(n-52) +51365990278841539493888*a(n-53) +588902075096209817600*a(n-54) -2181425252011962531840*a(n-55) -163298906545663770624*a(n-56) +18362493445475401728*a(n-57) +1626733500608544768*a(n-58)

Example

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

Crossrefs

Sequence in context: A236637 A236943 A236777 * A235276 A115471 A292011

Adjacent sequences: A210101 A210102 A210103 * A210105 A210106 A210107

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved