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A296834 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s. 7
2, 3, 3, 5, 6, 5, 8, 14, 14, 8, 13, 31, 43, 31, 13, 21, 70, 132, 132, 70, 21, 34, 157, 402, 573, 402, 157, 34, 55, 353, 1230, 2441, 2441, 1230, 353, 55, 89, 793, 3755, 10485, 14379, 10485, 3755, 793, 89, 144, 1782, 11475, 44951, 85500, 85500, 44951, 11475, 1782, 144 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2....3.....5......8.......13........21.........34...........55............89

..3....6....14.....31.......70.......157........353..........793..........1782

..5...14....43....132......402......1230.......3755........11475.........35054

..8...31...132....573.....2441.....10485......44951.......192730........826498

.13...70...402...2441....14379.....85500.....508111......3017667......17931240

.21..157..1230..10485....85500....706534....5834429.....48122349.....397252886

.34..353..3755..44951...508111...5834429...67007971....768117235....8815633972

.55..793.11475.192730..3017667..48122349..768117235..12228697715..194991656916

.89.1782.35054.826498.17931240.397252886.8815633972.194991656916.4321362259224

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical for column k:

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

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

k=3: [order 15]

k=4: [order 50]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n+2).

Column 2 is A006356.

Sequence in context: A094585 A183322 A295918 * A242642 A178041 A181805

Adjacent sequences:  A296831 A296832 A296833 * A296835 A296836 A296837

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 21 2017

STATUS

approved

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Last modified March 1 02:43 EST 2021. Contains 341732 sequences. (Running on oeis4.)