login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A304141 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 4, 1, 1, 7, 7, 1, 1, 13, 5, 13, 1, 1, 26, 9, 9, 26, 1, 1, 49, 15, 11, 15, 49, 1, 1, 99, 16, 20, 20, 16, 99, 1, 1, 194, 33, 17, 39, 17, 33, 194, 1, 1, 387, 57, 25, 83, 83, 25, 57, 387, 1, 1, 773, 62, 62, 135, 39, 135, 62, 62, 773, 1, 1, 1538, 133, 59, 356, 34, 34, 356, 59, 133 (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.......1.......1........1

.1...4..7.13..26..49..99...194...387...773...1538....3081....6147....12298

.1...7..5..9..15..16..33....57....62...133....231.....256.....549......953

.1..13..9.11..20..17..25....62....59....93....220.....237.....381......830

.1..26.15.20..39..83.135...356...967..1769...4507...12371...26399....63179

.1..49.16.17..83..39..34...749...257...102...8887....2522.....603...104361

.1..99.33.25.135..34..48...785....96...164...5607.....688....1198....43126

.1.194.57.62.356.749.785.11067.31406.35953.290885.1165507.1782306..8735753

.1.387.62.59.967.257..96.31406..8405...577.975952..406351...56557.28610665

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

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

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

k=3: [order 8] for n>10

k=4: a(n) = 2*a(n-1) +2*a(n-3) -6*a(n-4) +3*a(n-6) for n>10

k=5: [order 91] for n>96

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A304004.

Sequence in context: A047671 A081577 A146986 * A305047 A316733 A304010

Adjacent sequences:  A304138 A304139 A304140 * A304142 A304143 A304144

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 07 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 17 00:01 EDT 2022. Contains 356180 sequences. (Running on oeis4.)