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A282230 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 4
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 9506, 9506, 0, 0, 0, 0, 329630, 1077872, 329630, 0, 0, 0, 0, 10549476, 107299718, 107299718, 10549476, 0, 0, 0, 0, 322266792, 9825363032, 30554083556, 9825363032, 322266792, 0, 0, 0, 0, 9542402912 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,13
COMMENTS
Table starts
.0.0.........0............0................0................0................0
.0.0.........0............0................0................0................0
.0.0.......240.........9506...........329630.........10549476........322266792
.0.0......9506......1077872........107299718.......9825363032.....858207069508
.0.0....329630....107299718......30554083556....7991964336476.1992808557330302
.0.0..10549476...9825363032....7991964336476.5967754731205544
.0.0.322266792.858207069508.1992808557330302
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1)
k=3: [order 20] for n>21
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..1. .0..1..1..0. .0..0..1..0. .0..1..1..0. .0..0..0..1
..2..1..2..2. .1..0..0..1. .1..2..0..2. .1..1..2..1. .2..1..0..0
..1..1..1..0. .2..0..0..0. .0..0..0..0. .1..0..1..0. .2..1..0..0
CROSSREFS
Sequence in context: A221327 A221302 A072173 * A015161 A298833 A298621
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 09 2017
STATUS
approved

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Last modified March 2 14:21 EST 2024. Contains 370493 sequences. (Running on oeis4.)