login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A298240 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 8
1, 1, 1, 1, 5, 1, 1, 13, 13, 1, 1, 42, 22, 42, 1, 1, 127, 124, 124, 127, 1, 1, 389, 409, 1156, 409, 389, 1, 1, 1192, 1921, 8117, 8117, 1921, 1192, 1, 1, 3645, 8908, 66626, 107163, 66626, 8908, 3645, 1, 1, 11161, 41933, 563826, 1636306, 1636306, 563826, 41933 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1.....5.....13.......42........127...........389............1192

.1....13.....22......124........409..........1921............8908

.1....42....124.....1156.......8117.........66626..........563826

.1...127....409.....8117.....107163.......1636306........25784604

.1...389...1921....66626....1636306......45356726......1300110664

.1..1192...8908...563826...25784604....1300110664.....67668568376

.1..3645..41933..4788445..403231105...36992129471...3503621681315

.1.11161.204016.41239301.6388232748.1065292018400.183337397269876

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

k=2: a(n) = a(n-1) +5*a(n-2) +4*a(n-3) with g.f. (1-x^2-x^3)/(1-x-5*x^2-4*x^3).

k=3: [order 13] for n>15

k=4: [order 47] for n>49

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A176487 A272644 A157177 * A299366 A299135 A299893

Adjacent sequences:  A298237 A298238 A298239 * A298241 A298242 A298243

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 15 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 15:16 EDT 2020. Contains 333107 sequences. (Running on oeis4.)