A236446 Number of (n+1)X(2+1) 0..3 arrays colored with the difference of the maximum and minimum in each 2X2 subblock

2116, 25172, 280436, 3081484, 33804644, 372302304, 4107125100, 45253160716, 498239745892, 5488056222380, 60469751923916, 666180122487480, 7338126927909528, 80835303876178368, 890516979877141528

Offset

1,1

Comments

Column 2 of A236451

Links

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

Formula

Empirical: a(n) = 36*a(n-2) +356*a(n-3) +4344*a(n-4) +20686*a(n-5) +29714*a(n-6) -31380*a(n-7) -97187*a(n-8) -8638*a(n-9) -75077*a(n-10) -613287*a(n-11) -385421*a(n-12) +493270*a(n-13) +214944*a(n-14) +4921728*a(n-15) +12218501*a(n-16) +5327294*a(n-17) -8969592*a(n-18) -18816047*a(n-19) -32373495*a(n-20) -51099082*a(n-21) -9749467*a(n-22) +62349330*a(n-23) +27150861*a(n-24) +15857513*a(n-25) +34953995*a(n-26) -21410588*a(n-27) -9398131*a(n-28) +10813876*a(n-29) -1372244*a(n-30) -440320*a(n-31) +788640*a(n-32) -207360*a(n-33) +8704*a(n-34) for n>37

Example

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

Crossrefs

Sequence in context: A217439 A365240 A067632 * A077731 A077733 A324170

Adjacent sequences: A236443 A236444 A236445 * A236447 A236448 A236449

Keyword

nonn

Author

R. H. Hardin, Jan 26 2014

Status

approved