A237001 Number of (n+1)X(2+1) 0..3 arrays with the upper median plus the lower median of every 2X2 subblock equal

1200, 10000, 79164, 762724, 7370124, 74701920, 760932408, 7859816444, 81402789128, 847305184388, 8832588630880, 92272185770416, 964836819508976, 10099582999780948, 105782273348965824, 1108619020342191224

Offset

1,1

Comments

Column 2 of A237007

Links

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

Formula

Empirical: a(n) = 38*a(n-1) -468*a(n-2) +218*a(n-3) +42647*a(n-4) -286743*a(n-5) -862127*a(n-6) +15950000*a(n-7) -24849106*a(n-8) -391927524*a(n-9) +1608022032*a(n-10) +4542403924*a(n-11) -37525303758*a(n-12) -2872192710*a(n-13) +499944714462*a(n-14) -694033809584*a(n-15) -4068669093257*a(n-16) +11050525673198*a(n-17) +18486952651648*a(n-18) -93553579562390*a(n-19) -15640564245929*a(n-20) +496377275042677*a(n-21) -365880965169655*a(n-22) -1661629390163616*a(n-23) +2579019375022268*a(n-24) +3105274042211800*a(n-25) -9031762043603828*a(n-26) -1005832317657720*a(n-27) +18641702983195264*a(n-28) -9780640678096544*a(n-29) -21728749031190400*a(n-30) +24478231844265600*a(n-31) +10062281672931328*a(n-32) -26934026561310208*a(n-33) +5454921963176960*a(n-34) +13868674463645696*a(n-35) -8550224146538496*a(n-36) -1975603837353984*a(n-37) +3269184288915456*a(n-38) -651588353261568*a(n-39) -329553047715840*a(n-40) +164517579325440*a(n-41) -20741042995200*a(n-42)

Example

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

Crossrefs

Sequence in context: A043408 A234917 A167985 * A022056 A107520 A268877

Adjacent sequences: A236998 A236999 A237000 * A237002 A237003 A237004

Keyword

nonn

Author

R. H. Hardin, Feb 02 2014

Status

approved