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A296128 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1s. 6
1, 1, 1, 1, 5, 1, 1, 9, 9, 1, 1, 13, 18, 13, 1, 1, 33, 30, 30, 33, 1, 1, 69, 107, 74, 107, 69, 1, 1, 121, 265, 287, 287, 265, 121, 1, 1, 253, 553, 841, 2098, 841, 553, 253, 1, 1, 529, 1505, 2463, 9344, 9344, 2463, 1505, 529, 1, 1, 1013, 3852, 7953, 35733, 54286, 35733, 7953 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1...5....9....13.....33.......69.......121........253.........529.........1013

.1...9...18....30....107......265.......553.......1505........3852.........8922

.1..13...30....74....287......841......2463.......7953.......24428........74660

.1..33..107...287...2098.....9344.....35733.....182881......859151......3752449

.1..69..265...841...9344....54286....263489....1867837....11720327.....67180741

.1.121..553..2463..35733...263489...1810441...16855693...138016847...1087543621

.1.253.1505..7953.182881..1867837..16855693..227074899..2614792001..28292082465

.1.529.3852.24428.859151.11720327.138016847.2614792001.41069612676.599261543598

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..287

FORMULA

Empirical for column k:

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

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

k=3: a(n) = 2*a(n-1) -a(n-2) +8*a(n-3) -7*a(n-4) +2*a(n-5) -2*a(n-6)

k=4: [order 9]

k=5: [order 39]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A089977(n+1).

Column 3 is A183444.

Sequence in context: A153108 A157174 A183450 * A131061 A157169 A081578

Adjacent sequences:  A296125 A296126 A296127 * A296129 A296130 A296131

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 05 2017

STATUS

approved

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Last modified January 29 16:58 EST 2020. Contains 331347 sequences. (Running on oeis4.)