A228977 T(n,k) = number of nXk 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..2 array.

3, 9, 9, 27, 81, 27, 81, 729, 729, 81, 243, 6387, 19503, 6387, 243, 729, 55887, 485397, 485397, 55887, 729, 2187, 488037, 11824875, 32175213, 11824875, 488037, 2187, 6561, 4259277, 284888979, 2056956837, 2056956837, 284888979, 4259277, 6561

Offset

1,1

Comments

Table starts

.....3.........9............27................81...................243

.....9........81...........729..............6387.................55887

....27.......729.........19503............485397..............11824875

....81......6387........485397..........32175213............2056956837

...243.....55887......11824875........2056956837..........340872730929

...729....488037.....284888979......129504297807........55502388155025

..2187...4259277....6833010879.....8110003331559......8985215719785555

..6561..37155951..163568332743...506820492353703...1451684774711834475

.19683.324050745.3912114851403.31647512289810393.234373576090867144155

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1).

k=2: [order 12].

Example

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

Crossrefs

Column 1 is A000244.

Sequence in context: A222996 A268026 A268019 * A223576 A125824 A203558

Adjacent sequences: A228974 A228975 A228976 * A228978 A228979 A228980

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 10 2013

Status

approved