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A296974 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 4 or 5 king-move neighboring 1s. 8
1, 1, 1, 1, 5, 1, 1, 11, 11, 1, 1, 21, 31, 21, 1, 1, 59, 78, 78, 59, 1, 1, 145, 295, 274, 295, 145, 1, 1, 323, 959, 1418, 1418, 959, 323, 1, 1, 793, 2958, 6573, 13543, 6573, 2958, 793, 1, 1, 1939, 9835, 29590, 101352, 101352, 29590, 9835, 1939, 1, 1, 4561, 32104, 140427 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1....1.....1......1........1..........1...........1.............1

.1....5....11.....21.......59........145.........323...........793

.1...11....31.....78......295........959........2958..........9835

.1...21....78....274.....1418.......6573.......29590........140427

.1...59...295...1418....13543.....101352......711867.......5662206

.1..145...959...6573...101352....1154298....12662763.....158665988

.1..323..2958..29590...711867...12662763...222799447....4440619952

.1..793..9835.140427..5662206..158665988..4440619952..143300513381

.1.1939.32104.665654.44485796.1952861999.87137716095.4520161193750

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 2*a(n-1) -a(n-2) +6*a(n-3) -4*a(n-4) +2*a(n-5)

k=3: [order 17]

k=4: [order 48]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A181370 A119307 A296039 * A146954 A174949 A174861

Adjacent sequences:  A296971 A296972 A296973 * A296975 A296976 A296977

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 22 2017

STATUS

approved

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Last modified September 28 14:58 EDT 2021. Contains 347716 sequences. (Running on oeis4.)