A258564 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum equal to the central column sum

11532, 179776, 179776, 2826448, 4884100, 2826448, 44622400, 134652816, 134652816, 44622400, 702129040, 3749847696, 6542200832, 3749847696, 702129040, 11033401600, 103717490704, 321924603456, 321924603456, 103717490704

Offset

1,1

Comments

Table starts

.........11532.........179776.........2826448.........44622400........702129040

........179776........4884100.......134652816.......3749847696.....103717490704

.......2826448......134652816......6542200832.....321924603456...15675466093600

......44622400.....3749847696....321924603456...28226268865600.2446055780403456

.....702129040...103717490704..15675466093600.2446055780403456

...11033401600..2859893618884.760019986771600

..173567878848.79025557095424

.2731694950656

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Formula

Empirical for column k:

k=1: [linear recurrence of order 36]

Example

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

Crossrefs

Sequence in context: A201048 A236522 A235659 * A258561 A362216 A063061

Adjacent sequences: A258561 A258562 A258563 * A258565 A258566 A258567

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 03 2015

Status

approved