A251531 T(n,k)=Number of ways to place any number of black and any number of white nonattacking knights on a (n+2)X(k+2) board

3465, 30377, 30377, 318659, 546525, 318659, 3222565, 11314071, 11314071, 3222565, 31361437, 216137483, 463425639, 216137483, 31361437, 307927905, 4060878845, 17145057973, 17145057973, 4060878845, 307927905, 3055869419, 77906507591

Offset

1,1

Comments

Table starts

......3465.......30377.........318659..........3222565............31361437

.....30377......546525.......11314071........216137483..........4060878845

....318659....11314071......463425639......17145057973........629694824303

...3222565...216137483....17145057973....1212903660581......85453027245665

..31361437..4060878845...629694824303...85453027245665...11726484486571601

.307927905.77906507591.23667617769817.6219630222384685.1671396405843418205

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 57]

Example

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

Crossrefs

Sequence in context: A125017 A307111 A307098 * A251526 A325979 A251525

Adjacent sequences: A251528 A251529 A251530 * A251532 A251533 A251534

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 04 2014

Status

approved