A236065 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the upper median and the minimum in each 2X2 subblock

81, 360, 360, 1616, 1784, 1616, 7016, 8506, 8506, 7016, 31616, 41344, 45987, 41344, 31616, 138988, 200906, 221292, 221292, 200906, 138988, 620552, 983796, 1178874, 1189428, 1178874, 983796, 620552, 2734804, 4815318, 6003004, 6693198, 6693198

Offset

1,1

Comments

Table starts

.......81.......360.......1616........7016........31616........138988

......360......1784.......8506.......41344.......200906........983796

.....1616......8506......45987......221292......1178874.......6003004

.....7016.....41344.....221292.....1189428......6693198......39556394

....31616....200906....1178874.....6693198.....44476077.....300043524

...138988....983796....6003004....39556394....300043524....2530095488

...620552...4815318...32549159...224877256...2014550540...19156234610

..2734804..23498914..160724066..1256067308..12237425826..140432536108

.12176064.114724352..869348096..7205418850..84261108266.1120211727420

.53818764.560870566.4373843360.41590160892.550970559570.9029381500148

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 32] for n>35

k=3: [order 94] for n>101

Example

Some solutions for n=3 k=4
..0..2..2..1..0....1..0..0..1..1....0..0..1..1..2....0..1..1..0..1
..1..2..2..0..1....2..0..0..1..1....0..1..1..1..0....0..0..2..2..1
..0..0..1..0..0....2..1..2..2..2....0..1..2..0..0....1..1..2..1..1
..2..0..2..2..1....0..0..2..2..0....0..0..1..2..1....1..2..2..0..2

Crossrefs

Sequence in context: A237472 A237465 A236997 * A206676 A205520 A236990

Adjacent sequences: A236062 A236063 A236064 * A236066 A236067 A236068

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2014

Status

approved