A251983 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 0 1 2 7 8 or 9 and every diagonal and antidiagonal sum 0 1 2 7 8 or 9

2930, 9822, 9822, 41682, 73222, 41682, 138390, 516108, 516108, 138390, 463054, 2703512, 4379034, 2703512, 463054, 1762248, 16324414, 26230040, 26230040, 16324414, 1762248, 6881308, 113817844, 196459816, 153525420, 196459816

Offset

1,1

Comments

Table starts

.....2930.......9822........41682.......138390.........463054.........1762248

.....9822......73222.......516108......2703512.......16324414.......113817844

....41682.....516108......4379034.....26230040......196459816......1645790820

...138390....2703512.....26230040....153525420.....1175144274.....11222619848

...463054...16324414....196459816...1175144274....10630171636....144374047558

..1762248..113817844...1645790820..11222619848...144374047558...2806746475910

..6881308..782954632..13277304274..98312125934..1633057450764..41357385753908

.25756230.5188534650.103969785600.803257677008.16362554029592.560931930325822

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical for column k:

k=1: [linear recurrence of order 31] for n>34

k=2: [order 47] for n>53

k=3: [order 56] for n>60

Example

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

Crossrefs

Sequence in context: A128149 A276671 A251233 * A251976 A251975 A252198

Adjacent sequences: A251980 A251981 A251982 * A251984 A251985 A251986

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 12 2014

Status

approved