A237951 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1460, 1460, 8291, 12218, 8291, 50268, 102396, 102396, 50268, 303996, 945688, 1268436, 945688, 303996, 1843152, 8557942, 17612024, 17612024, 8557942, 1843152, 11184876, 78337964, 235951750, 386513430, 235951750, 78337964, 11184876

Offset

1,1

Comments

Table starts

........256........1460.........8291.........50268........303996.......1843152

.......1460.......12218.......102396........945688.......8557942......78337964

.......8291......102396......1268436......17612024.....235951750....3242667656

......50268......945688.....17612024.....386513430....7955118248..171966060604

.....303996.....8557942....235951750....7955118248..245793254004.8132627354852

....1843152....78337964...3242667656..171966060604.8132627354852

...11184876...716030830..44334957288.3650074854108

...68097912..6626058730.616683845628

..414486896.60902085946

.2520029560

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 46]

Example

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

Crossrefs

Sequence in context: A187956 A237225 A237219 * A237946 A237488 A237482

Adjacent sequences: A237948 A237949 A237950 * A237952 A237953 A237954

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 16 2014

Status

approved