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!)
A299839 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 4, 1, 2, 18, 18, 2, 3, 64, 142, 64, 3, 5, 236, 1000, 1000, 236, 5, 8, 888, 7388, 13850, 7388, 888, 8, 13, 3336, 54611, 198202, 198202, 54611, 3336, 13, 21, 12512, 402928, 2853873, 5544044, 2853873, 402928, 12512, 21, 34, 46928, 2973312 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0.....1........1..........2.............3................5..................8

..1.....4.......18.........64...........236..............888...............3336

..1....18......142.......1000..........7388............54611.............402928

..2....64.....1000......13850........198202..........2853873...........41026724

..3...236.....7388.....198202.......5544044........156175241.........4390323230

..5...888....54611....2853873.....156175241.......8606994457.......473261273932

..8..3336...402928...41026724....4390323230.....473261273932.....50892107038125

.13.12512..2973312..589665345..123389988671...26017342950926...5471622342472717

.21.46928.21942164.8475712818.3468206088400.1430440832008036.588340577558059509

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

k=3: [order 9] for n>10

k=4: [order 22] for n>23

k=5: [order 68] for n>69

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A231950(n-1).

Sequence in context: A299937 A299067 A299728 * A265178 A159766 A280284

Adjacent sequences:  A299836 A299837 A299838 * A299840 A299841 A299842

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 20 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 October 7 05:32 EDT 2022. Contains 357270 sequences. (Running on oeis4.)