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A282862 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors. 8
2, 4, 4, 7, 11, 7, 13, 31, 31, 13, 24, 89, 131, 89, 24, 44, 251, 583, 583, 251, 44, 81, 715, 2562, 4163, 2562, 715, 81, 149, 2028, 11250, 28537, 28537, 11250, 2028, 149, 274, 5761, 49471, 197892, 305430, 197892, 49471, 5761, 274, 504, 16358, 217459, 1369929 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2.....4.......7........13..........24............44..............81

...4....11......31........89.........251...........715............2028

...7....31.....131.......583........2562.........11250...........49471

..13....89.....583......4163.......28537........197892.........1369929

..24...251....2562.....28537......305430.......3303160........35681883

..44...715...11250....197892.....3303160......55930891.......945547378

..81..2028...49471...1369929....35681883.....945547378.....25000646212

.149..5761..217459...9480913...385325426...15974465522....660597156170

.274.16358..955873..65635874..4161954773..270001575386..17464365749979

.504.46452.4201865.454328733.44951001482.4562926495008.461623512113494

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +a(n-3)

k=2: a(n) = a(n-1) +4*a(n-2) +3*a(n-3) +a(n-4) +a(n-5)

k=3: [order 11]

k=4: [order 21]

k=5: [order 43]

k=6: [order 85]

EXAMPLE

Some solutions for n=4 k=4

..1..1..0..0. .0..0..1..1. .1..0..0..0. .0..1..0..1. .0..0..0..1

..0..0..1..1. .0..0..0..0. .0..1..0..1. .0..0..1..0. .1..0..0..0

..1..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..0. .1..0..0..1

..0..1..1..0. .0..0..1..0. .1..0..0..0. .1..0..0..0. .0..0..1..0

CROSSREFS

Column 1 is A000073(n+3).

Sequence in context: A268781 A282647 A269089 * A296578 A268750 A282996

Adjacent sequences:  A282859 A282860 A282861 * A282863 A282864 A282865

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 23 2017

STATUS

approved

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Last modified July 24 04:08 EDT 2019. Contains 325290 sequences. (Running on oeis4.)