A236059 Number of (n+1)X(2+1) 0..2 arrays colored with the difference of the upper median and the minimum in each 2X2 subblock

360, 1784, 8506, 41344, 200906, 983796, 4815318, 23498914, 114724352, 560870566, 2740746646, 13385913760, 65395196768, 319541819810, 1561151244530, 7626667014534, 37261178721560, 182048049114668, 889406662186434

Offset

1,1

Comments

Column 2 of A236065

Links

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

Formula

Empirical: a(n) = 49*a(n-3) +236*a(n-4) +426*a(n-5) +654*a(n-6) -1133*a(n-7) -5246*a(n-8) -4754*a(n-9) +1867*a(n-10) +17569*a(n-11) -2570*a(n-12) -38230*a(n-13) +38724*a(n-14) +27309*a(n-15) -54534*a(n-16) +44390*a(n-17) +26998*a(n-18) -51374*a(n-19) -28145*a(n-20) -36975*a(n-21) +7568*a(n-22) +67771*a(n-23) +42787*a(n-24) -5128*a(n-25) -24789*a(n-26) -15360*a(n-27) -3*a(n-28) +2726*a(n-29) +348*a(n-30) -160*a(n-31) -32*a(n-32) for n>35

Example

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

Crossrefs

Sequence in context: A205738 A112536 A140801 * A206670 A236991 A205514

Adjacent sequences: A236056 A236057 A236058 * A236060 A236061 A236062

Keyword

nonn

Author

R. H. Hardin, Jan 18 2014

Status

approved