A210263 Number of (n+1)X5 0..3 arrays containing all values 0..3 with every 2X2 subblock having three distinct values, and new values 0..3 introduced in row major order.

4298, 592969, 74289956, 9204003223, 1137801615818, 140618780386783, 17377926553935982, 2147582662927620895, 265400237596322758282, 32798400227021219841431, 4053255707882983814841256

Offset

1,1

Comments

Column 4 of A210267

Links

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

Formula

Empirical: a(n) = 208*a(n-1) -11777*a(n-2) +94953*a(n-3) +11282777*a(n-4) -300230858*a(n-5) -2030020415*a(n-6) +154714365717*a(n-7) -835409506883*a(n-8) -32817201385328*a(n-9) +387387151685882*a(n-10) +3044940024025706*a(n-11) -64835114300366009*a(n-12) -42786707245576098*a(n-13) +5751830532275106073*a(n-14) -16103656230733623821*a(n-15) -295460333548848141092*a(n-16) +1596987697112378159646*a(n-17) +8716400092711373757801*a(n-18) -76829522478341353618635*a(n-19) -117025527365549564447848*a(n-20) +2255386434235503948211582*a(n-21) -1090527640994479807979772*a(n-22) -42924560123670593643529800*a(n-23) +79873007729548579232819824*a(n-24) +530452740825373237454249528*a(n-25) -1678996015416401623433215328*a(n-26) -3974597159842265998807443728*a(n-27) +20442608956556896189560069024*a(n-28) +12572243416557611196531929600*a(n-29) -158760447373287871211600674496*a(n-30) +62371746018858818643273251840*a(n-31) +790240531776664873390830228736*a(n-32) -895213241848646797338489708544*a(n-33) -2390400685449497424892238006272*a(n-34) +4529311964034293254493883850752*a(n-35) +3661856275780121034325608316928*a(n-36) -12436379430730778229284273520640*a(n-37) -157232863171166993110527508480*a(n-38) +19218418014847258443838877335552*a(n-39) -8524407983882505977655434674176*a(n-40) -15750453996892525372114665996288*a(n-41) +12632938151949082801824296075264*a(n-42) +5555135058401540564501416378368*a(n-43) -7628049341872581906805584560128*a(n-44) -8980990683676708801829928960*a(n-45) +1936146568314526563464720154624*a(n-46) -327642732580228949614402732032*a(n-47) -172830348605676587877088100352*a(n-48) +30197447438230952553989799936*a(n-49) +5737493600858405860068556800*a(n-50)

Example

Some solutions for n=4
..0..0..0..1..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..1
..1..3..1..2..3....1..2..1..2..1....1..2..1..2..1....1..2..3..1..3
..3..2..2..0..2....2..0..1..0..0....3..1..3..3..1....2..0..0..3..2
..2..1..3..0..1....2..3..1..2..1....1..0..0..1..0....1..1..2..0..2
..1..3..2..2..0....1..3..2..0..0....0..2..1..2..1....0..2..3..2..1

Crossrefs

Sequence in context: A234164 A124596 A224522 * A387699 A165067 A236881

Adjacent sequences: A210260 A210261 A210262 * A210264 A210265 A210266

Keyword

nonn

Author

R. H. Hardin, Mar 19 2012

Status

approved