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!)
A305452 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 3, 1, 2, 11, 11, 2, 3, 10, 7, 10, 3, 5, 51, 20, 20, 51, 5, 8, 165, 44, 26, 44, 165, 8, 13, 306, 77, 169, 169, 77, 306, 13, 21, 993, 181, 475, 1275, 475, 181, 993, 21, 34, 2867, 379, 1234, 2697, 2697, 1234, 379, 2867, 34, 55, 6818, 849, 5007, 13128, 5443, 13128 (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

..1....3..11....10.....51....165.....306......993......2867.......6818

..1...11...7....20.....44.....77.....181......379.......849.......1799

..2...10..20....26....169....475....1234.....5007.....16422......51196

..3...51..44...169...1275...2697...13128....58608....222877.....971263

..5..165..77...475...2697...5443...30344...132479....485885....2234246

..8..306.181..1234..13128..30344..222961..1378090...6504099...42968149

.13..993.379..5007..58608.132479.1378090.10709608..62295992..516604339

.21.2867.849.16422.222877.485885.6504099.62295992.362139243.3817890104

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

k=2: a(n) = a(n-1) +3*a(n-2) +8*a(n-3) -4*a(n-4) -16*a(n-5) for n>6

k=3: [order 17] for n>18

k=4: [order 63] for n>65

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A304052.

Sequence in context: A331692 A016567 A304058 * A304704 A316455 A305015

Adjacent sequences:  A305449 A305450 A305451 * A305453 A305454 A305455

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 01 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 May 10 05:00 EDT 2021. Contains 343748 sequences. (Running on oeis4.)