A237927 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1632, 1632, 10316, 15260, 10316, 66512, 142488, 142488, 66512, 431640, 1365710, 1926461, 1365710, 431640, 2776536, 13009850, 26467386, 26467386, 13009850, 2776536, 17920936, 123407764, 362996768, 533139326, 362996768

Offset

1,1

Comments

Table starts

........256..........1632...........10316............66512...........431640

.......1632.........15260..........142488..........1365710.........13009850

......10316........142488.........1926461.........26467386........362996768

......66512.......1365710........26467386........533139326......10733520644

.....431640......13009850.......362996768......10733520644.....318431976402

....2776536.....123407764......4957001920.....216277393666....9401494272628

...17920936....1173616996.....68164733860....4367587791906..279092830922873

..115383848...11179776830....934379485016...88165105669262.8254890731634348

..745952272..106365553324..12832924363235.1776627602822848

.4801239096.1011373253330.175593729622252

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 30]

k=2: [order 93]

Example

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

Crossrefs

Sequence in context: A250429 A238155 A238148 * A237922 A238072 A238065

Adjacent sequences: A237924 A237925 A237926 * A237928 A237929 A237930

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 15 2014

Status

approved