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!)
A303254 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 10
0, 1, 0, 1, 3, 0, 2, 14, 11, 0, 3, 45, 49, 34, 0, 5, 146, 203, 250, 111, 0, 8, 537, 955, 1401, 1183, 361, 0, 13, 1934, 4556, 10264, 8664, 5918, 1172, 0, 21, 6861, 21843, 78679, 106803, 55624, 28680, 3809, 0, 34, 24386, 103319, 584333, 1218385, 1105676, 349273 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.0.....3.....14.......45........146.........537..........1934............6861

.0....11.....49......203........955........4556.........21843..........103319

.0....34....250.....1401......10264.......78679........584333.........4330427

.0...111...1183.....8664.....106803.....1218385......13529019.......153269484

.0...361...5918....55624....1105676....19457754.....322544617......5622650429

.0..1172..28680...349273...11394429...306224454....7600681910....204093228252

.0..3809.141255..2229806..118856245..4895684572..181926316054...7516309079483

.0.12377.691968.14141138.1230109648.77683246701.4319287740641.274539947294004

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

k=3: [order 14]

k=4: [order 43] for n>44

Empirical for row n:

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

n=2: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) +10*a(n-4) +4*a(n-5) for n>6

n=3: [order 19] for n>21

n=4: [order 63] for n>66

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A180762.

Row 1 is A000045(n-1).

Row 2 is A302225.

Row 3 is A302473.

Row 4 is A302474.

Sequence in context: A302224 A302670 A302472 * A256068 A302381 A303102

Adjacent sequences:  A303251 A303252 A303253 * A303255 A303256 A303257

KEYWORD

nonn,tabl

AUTHOR

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 21 00:46 EST 2022. Contains 350473 sequences. (Running on oeis4.)