A236500 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock

256, 2228, 2228, 19856, 30916, 19856, 171436, 404844, 404844, 171436, 1503360, 5217808, 8124056, 5217808, 1503360, 13078180, 67922876, 142835932, 142835932, 67922876, 13078180, 114229184, 889064156, 2727955642, 4018409892, 2727955642

Offset

1,1

Comments

Table starts

........256..........2228...........19856............171436............1503360

.......2228.........30916..........404844...........5217808...........67922876

......19856........404844.........8124056.........142835932.........2727955642

.....171436.......5217808.......142835932........4018409892.......117174223516

....1503360......67922876......2727955642......117174223516......5510102027356

...13078180.....889064156.....52554367064.....3489407550956....252358163507060

..114229184...11593920636...1025983223760...102973945562456..11946600523108020

..995583500..150933818096..19095015395876..3020121066420424.550717159908756560

.8688160944.1967718157060.366962215793842.88792796276355104

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 11] for n>12

k=2: [order 43] for n>46

Example

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

Crossrefs

Sequence in context: A206056 A207799 A207792 * A236495 A236118 A236113

Adjacent sequences: A236497 A236498 A236499 * A236501 A236502 A236503

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 27 2014

Status

approved