A236878 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal

211, 669, 2111, 7995, 29673, 117703, 462885, 1868937, 7534429, 30744153, 125576911, 516317755, 2126269431, 8792513827, 36414484091, 151240645827, 628964493529, 2621050705595, 10934020192599, 45682050849053

Offset

1,1

Comments

Column 2 of A236884

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -28*a(n-2) -459*a(n-3) +2258*a(n-4) +4418*a(n-5) -46337*a(n-6) +15855*a(n-7) +478245*a(n-8) -699780*a(n-9) -2810786*a(n-10) +6844631*a(n-11) +9089948*a(n-12) -36536014*a(n-13) -9754145*a(n-14) +120336673*a(n-15) -40121314*a(n-16) -248844918*a(n-17) +191784528*a(n-18) +308729988*a(n-19) -375062032*a(n-20) -194512520*a(n-21) +397632272*a(n-22) +14941536*a(n-23) -230210592*a(n-24) +50723072*a(n-25) +68301056*a(n-26) -26409216*a(n-27) -8429056*a(n-28) +4614144*a(n-29) +122880*a(n-30) -184320*a(n-31)

Example

Some solutions for n=5
..1..2..1....1..2..0....0..2..2....2..0..2....0..2..2....0..2..0....1..1..0
..2..1..2....2..1..2....2..2..2....1..0..1....2..2..0....1..1..1....0..2..1
..0..2..0....0..2..1....2..2..2....0..2..0....1..2..2....1..2..1....1..1..1
..1..2..1....2..1..2....1..2..0....0..1..0....2..2..0....1..1..1....2..0..2
..2..0..2....1..2..0....2..2..2....1..1..1....0..2..2....0..2..0....0..2..0
..2..1..2....1..2..1....0..2..0....1..1..1....2..2..1....1..1..1....2..0..2

Crossrefs

Sequence in context: A056212 A299110 A236722 * A137770 A142761 A308798

Adjacent sequences: A236875 A236876 A236877 * A236879 A236880 A236881

Keyword

nonn

Author

R. H. Hardin, Feb 01 2014

Status

approved