A236713 Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the lower median of every 2X2 subblock

398, 2262, 12276, 68906, 391672, 2259386, 12874198, 73197080, 418190364, 2392155730, 13641003160, 77798447248, 444313934342, 2536940776320, 14475829142936, 82619028156938, 471664099792988, 2692274158653134

Offset

1,1

Comments

Column 2 of A236719

Links

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

Formula

Empirical: a(n) = 75*a(n-3) +429*a(n-4) +897*a(n-5) +2057*a(n-6) -888*a(n-7) -8682*a(n-8) -14634*a(n-9) -20920*a(n-10) +12981*a(n-11) +9538*a(n-12) -11151*a(n-13) +92172*a(n-14) +24265*a(n-15) +109712*a(n-16) +362941*a(n-17) -258335*a(n-18) -1201467*a(n-19) -103220*a(n-20) +1386852*a(n-21) +424193*a(n-22) -333799*a(n-23) -68373*a(n-24) +164001*a(n-25) +390188*a(n-26) -504798*a(n-27) -533076*a(n-28) +591269*a(n-29) +238719*a(n-30) -346836*a(n-31) -97052*a(n-32) +11666*a(n-33) -23198*a(n-34) -4960*a(n-35) -260*a(n-36) for n>38

Example

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

Crossrefs

Sequence in context: A340419 A191942 A158316 * A235958 A187515 A235569

Adjacent sequences: A236710 A236711 A236712 * A236714 A236715 A236716

Keyword

nonn

Author

R. H. Hardin, Jan 30 2014

Status

approved