A251386 Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock summing to 2 3 4 5 or 6

36825, 5914339, 948010753, 152031391763, 24381056748093, 3909974244432939, 627040122137369465, 100558037515424647371, 16126430486283052922865, 2586185717602618168577243, 414745009566264751851879237

Offset

1,1

Comments

Column 4 of A251390

Links

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

Formula

Empirical: a(n) = 181*a(n-1) -2746*a(n-2) -101967*a(n-3) +1773145*a(n-4) +20348444*a(n-5) -368196815*a(n-6) -1817676780*a(n-7) +34050885969*a(n-8) +68842086450*a(n-9) -1596722070406*a(n-10) -371879429359*a(n-11) +40050415526368*a(n-12) -39169264660214*a(n-13) -536027390436087*a(n-14) +988306992895554*a(n-15) +3742597767228864*a(n-16) -9869631170827003*a(n-17) -13304148137941245*a(n-18) +52053108117628136*a(n-19) +18404308099172964*a(n-20) -161484840791772744*a(n-21) +25956089194520086*a(n-22) +309568007566419607*a(n-23) -146656617600451265*a(n-24) -373299689053722066*a(n-25) +260106568902966205*a(n-26) +281607598468032033*a(n-27) -251171454190439420*a(n-28) -128884855406189532*a(n-29) +144229928356813428*a(n-30) +33210696300928036*a(n-31) -49834078938247524*a(n-32) -3873133974409328*a(n-33) +10107197179378480*a(n-34) -24317744230880*a(n-35) -1133607752381056*a(n-36) +39921960253568*a(n-37) +62475622037504*a(n-38) -1879763398656*a(n-39) -1321910913024*a(n-40)

Example

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

Crossrefs

Sequence in context: A232135 A212467 A187032 * A175748 A204104 A229509

Adjacent sequences: A251383 A251384 A251385 * A251387 A251388 A251389

Keyword

nonn

Author

R. H. Hardin, Dec 01 2014

Status

approved