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A304149 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. 8
0, 1, 1, 1, 7, 1, 2, 14, 14, 2, 3, 33, 18, 33, 3, 5, 70, 25, 25, 70, 5, 8, 157, 113, 61, 113, 157, 8, 13, 346, 238, 157, 157, 238, 346, 13, 21, 769, 359, 117, 1198, 117, 359, 769, 21, 34, 1710, 1309, 244, 3484, 3484, 244, 1309, 1710, 34, 55, 3813, 3091, 936, 5336, 13152 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0....1....1...2.....3......5......8.......13........21........34.........55

..1....7...14..33....70....157....346......769......1710......3813.......8514

..1...14...18..25...113....238....359.....1309......3091......5173......15475

..2...33...25..61...157....117....244......936.......733......1513.......5788

..3...70..113.157..1198...3484...5336....24401.....90422....181207.....546435

..5..157..238.117..3484..13152..12582...139840....774023...1302357....5969791

..8..346..359.244..5336..12582...6492...218516....748819....579549....8291908

.13..769.1309.936.24401.139840.218516..1429403..12033436..34502082..116115677

.21.1710.3091.733.90422.774023.748819.12033436.180869894.471888374.2046852451

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

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

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

k=3: [order 14] for n>16

k=4: [order 17] for n>22

k=5: [order 93] for n>96

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Sequence in context: A318353 A273984 A119506 * A305489 A305089 A316740

Adjacent sequences:  A304146 A304147 A304148 * A304150 A304151 A304152

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 07 2018

STATUS

approved

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Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)