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!)
A300612 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 3, 1, 2, 10, 10, 2, 3, 30, 53, 30, 3, 5, 96, 277, 277, 96, 5, 8, 307, 1432, 2347, 1432, 307, 8, 13, 981, 7514, 19532, 19532, 7514, 981, 13, 21, 3137, 39330, 164619, 263468, 164619, 39330, 3137, 21, 34, 10034, 205958, 1387896, 3567928, 3567928 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

..1.....3......10.......30.........96..........307............981

..1....10......53......277.......1432.........7514..........39330

..2....30.....277.....2347......19532.......164619........1387896

..3....96....1432....19532.....263468......3567928.......48279880

..5...307....7514...164619....3567928.....77669371.....1693172810

..8...981...39330..1387896...48279880...1693172810....59556673490

.13..3137..205958.11697909..653282566..36914891724..2093683166397

.21.10034.1078479.98591087.8839456244.804586936082.73570793306416

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) = 3*a(n-1) +a(n-2) -3*a(n-4) -2*a(n-5) -a(n-6) for n>7

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

k=4: [order 72] for n>73

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A300421.

Sequence in context: A301669 A300427 A300689 * A301354 A229187 A126226

Adjacent sequences:  A300609 A300610 A300611 * A300613 A300614 A300615

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 09 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 November 28 20:58 EST 2021. Contains 349415 sequences. (Running on oeis4.)