A237862 Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

336, 1944, 11454, 68830, 405758, 2385956, 14144254, 84226372, 497945422, 2940973430, 17431426946, 103443591278, 612177964814, 3621788292858, 21459113612280, 127184449153574, 753001553319016, 4457885969403098

Offset

1,1

Comments

Column 2 of A237868

Links

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

Formula

Empirical: a(n) = 48*a(n-3) +764*a(n-4) +1113*a(n-5) +2630*a(n-6) -1330*a(n-7) -76808*a(n-8) -103834*a(n-9) +42139*a(n-10) +213170*a(n-11) +624044*a(n-12) +404402*a(n-13) -474767*a(n-14) -1195423*a(n-15) -845864*a(n-16) -233832*a(n-17) -278031*a(n-18) +2684781*a(n-19) -785243*a(n-20) +690749*a(n-21) +16053*a(n-22) -191039*a(n-23) -140612*a(n-24) -402983*a(n-25) +152122*a(n-26) -120738*a(n-27) -14602*a(n-28) +3372*a(n-29) +2280*a(n-30) -1368*a(n-31) +264*a(n-32) +128*a(n-33)

Example

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

Crossrefs

Sequence in context: A377134 A059467 A348343 * A268807 A159206 A251066

Adjacent sequences: A237859 A237860 A237861 * A237863 A237864 A237865

Keyword

nonn

Author

R. H. Hardin, Feb 14 2014

Status

approved