A237083 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal

256, 912, 3274, 12590, 48864, 194812, 782024, 3181960, 13011114, 53658914, 222083940, 924917700, 3861987068, 16205498580, 68129054026, 287586729590, 1215649311224, 5156290702428, 21893593896096, 93233390148624

Offset

1,1

Comments

Column 1 of A237090

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +60*a(n-2) -862*a(n-3) -1086*a(n-4) +33540*a(n-5) -9979*a(n-6) -783892*a(n-7) +824284*a(n-8) +12345350*a(n-9) -18192256*a(n-10) -139180992*a(n-11) +238967360*a(n-12) +1163655888*a(n-13) -2146002000*a(n-14) -7367091744*a(n-15) +13887606400*a(n-16) +35709999776*a(n-17) -66295608704*a(n-18) -132969450624*a(n-19) +235472001792*a(n-20) +379020082688*a(n-21) -621655478784*a(n-22) -818785156096*a(n-23) +1209529808896*a(n-24) +1318846520320*a(n-25) -1708239130624*a(n-26) -1549680926720*a(n-27) +1713440202752*a(n-28) +1294797701120*a(n-29) -1184941342720*a(n-30) -748816367616*a(n-31) +542383144960*a(n-32) +290968829952*a(n-33) -154773487616*a(n-34) -72499593216*a(n-35) +24714936320*a(n-36) +10489954304*a(n-37) -1677721600*a(n-38) -671088640*a(n-39)

Example

Some solutions for n=5
..1..0....3..2....2..2....2..3....3..1....2..0....2..2....3..3....2..3....0..2
..2..2....1..1....0..1....3..2....3..1....2..3....3..1....2..2....3..1....0..2
..1..2....3..0....1..3....3..2....1..3....3..3....3..1....1..3....3..2....2..0
..1..3....2..0....0..1....3..2....0..2....0..1....1..3....1..3....1..3....1..1
..2..1....2..1....3..1....2..1....3..1....3..3....0..2....2..2....3..0....0..2
..1..3....0..2....1..0....3..2....2..0....2..1....2..2....1..3....2..2....2..0

Crossrefs

Sequence in context: A224975 A237090 A224968 * A220764 A135272 A205595

Adjacent sequences: A237080 A237081 A237082 * A237084 A237085 A237086

Keyword

nonn

Author

R. H. Hardin, Feb 03 2014

Status

approved