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A296725 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1s. 8
2, 3, 3, 5, 9, 5, 8, 21, 21, 8, 13, 57, 69, 57, 13, 21, 153, 258, 258, 153, 21, 34, 393, 963, 1463, 963, 393, 34, 55, 1041, 3493, 8315, 8315, 3493, 1041, 55, 89, 2745, 12860, 44668, 72533, 44668, 12860, 2745, 89, 144, 7185, 47305, 246923, 579857, 579857, 246923 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2....3......5.......8........13..........21...........34.............55

..3....9.....21......57.......153.........393.........1041...........2745

..5...21.....69.....258.......963........3493........12860..........47305

..8...57....258....1463......8315.......44668.......246923........1364492

.13..153....963....8315.....72533......579857......4846823.......40521141

.21..393...3493...44668....579857.....6829945.....84312938.....1042553987

.34.1041..12860..246923...4846823....84312938...1554755519....28740762011

.55.2745..47305.1364492..40521141..1042553987..28740762011...795154816254

.89.7185.173498.7488185.334815607.12735280455.523224064059.21598350633016

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..238

FORMULA

Empirical for column k:

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

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

k=3: [order 10]

k=4: [order 18]

k=5: [order 45]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n+2).

Sequence in context: A317644 A194000 A295781 * A296588 A065460 A241741

Adjacent sequences:  A296722 A296723 A296724 * A296726 A296727 A296728

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2017

STATUS

approved

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Last modified January 27 22:45 EST 2022. Contains 350654 sequences. (Running on oeis4.)