A209826 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order

6278, 479693, 37744836, 3025299170, 243825684732, 19693265761805, 1591829337311006, 128707386720462708, 10407791300279336908, 841650529261100111720, 68063119605020375756575, 5504203358815345853102044

Offset

1,1

Comments

Column 5 of A209829

Links

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

Formula

Empirical: a(n) = 138*a(n-1) -5291*a(n-2) +41948*a(n-3) +1246056*a(n-4) -19527125*a(n-5) -94011205*a(n-6) +2626583096*a(n-7) +1511468746*a(n-8) -177763031682*a(n-9) +138302103902*a(n-10) +7019042194083*a(n-11) -7969961832191*a(n-12) -174075869696471*a(n-13) +186648296877104*a(n-14) +2832030056843165*a(n-15) -2415279667981283*a(n-16) -31006473277373149*a(n-17) +19111371400840450*a(n-18) +232526299989981431*a(n-19) -99505929279539438*a(n-20) -1213858407562141252*a(n-21) +370715377868919185*a(n-22) +4475559340570646909*a(n-23) -1096935236489998102*a(n-24) -11786638113405890713*a(n-25) +2781294795279031273*a(n-26) +22309407784237294666*a(n-27) -5920732121027419916*a(n-28) -30324789854047144258*a(n-29) +9761270047165567745*a(n-30) +29307097858909263706*a(n-31) -11646482334059398589*a(n-32) -19688084504632376578*a(n-33) +9649239854975506279*a(n-34) +8805727983122157768*a(n-35) -5380377784965746096*a(n-36) -2398306480372906352*a(n-37) +1943991227752730806*a(n-38) +304993982412468654*a(n-39) -428499039605489966*a(n-40) +11979961616427444*a(n-41) +51791333004986360*a(n-42) -7840293455999272*a(n-43) -2807693417208336*a(n-44) +702780093944768*a(n-45) +47980140467616*a(n-46) -22670306024704*a(n-47) +380884158080*a(n-48) +247814909440*a(n-49) -6850234368*a(n-50) -945684480*a(n-51)

Example

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

Crossrefs

Sequence in context: A254635 A189655 A071091 * A107582 A213869 A350416

Adjacent sequences: A209823 A209824 A209825 * A209827 A209828 A209829

Keyword

nonn

Author

R. H. Hardin Mar 13 2012

Status

approved