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!)
A317436 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 7, 1, 2, 16, 16, 2, 3, 45, 61, 45, 3, 5, 120, 201, 201, 120, 5, 8, 333, 863, 1140, 863, 333, 8, 13, 928, 3666, 6964, 6964, 3666, 928, 13, 21, 2613, 14831, 39216, 67214, 39216, 14831, 2613, 21, 34, 7400, 61638, 225065, 594763, 594763, 225065, 61638 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0....1......1.......2.........3...........5.............8.............13

..1....7.....16......45.......120.........333...........928...........2613

..1...16.....61.....201.......863........3666.........14831..........61638

..2...45....201....1140......6964.......39216........225065........1322225

..3..120....863....6964.....67214......594763.......5282805.......47791350

..5..333...3666...39216....594763.....8362442.....113897676.....1604462254

..8..928..14831..225065...5282805...113897676....2326497716....49910970516

.13.2613..61638.1322225..47791350..1604462254...49910970516..1648608723762

.21.7400.255772.7638732.429692708.22617426590.1074044399955.54927936213579

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) +a(n-2)

k=2: a(n) = 2*a(n-1) +5*a(n-2) -2*a(n-3) -12*a(n-4) -8*a(n-5) for n>6

k=3: [order 20] for n>21

k=4: [order 68] for n>70

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A304013.

Sequence in context: A304697 A316448 A316130 * A303896 A305288 A304901

Adjacent sequences:  A317433 A317434 A317435 * A317437 A317438 A317439

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 27 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 October 20 10:43 EDT 2021. Contains 348100 sequences. (Running on oeis4.)