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!)
A359573 Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected and a path of 1's from upper left corner to lower right corner. 11
1, 1, 1, 1, 3, 1, 1, 8, 8, 1, 1, 20, 45, 20, 1, 1, 49, 234, 234, 49, 1, 1, 119, 1193, 2423, 1193, 119, 1, 1, 288, 6049, 24455, 24455, 6049, 288, 1, 1, 696, 30616, 245972, 482443, 245972, 30616, 696, 1, 1, 1681, 154861, 2473317, 9469361, 9469361, 2473317, 154861, 1681, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
LINKS
FORMULA
T(m,n) = T(n,m).
EXAMPLE
Array begins:
================================================================
m\n| 1 2 3 4 5 6 7
---+------------------------------------------------------------
1 | 1 1 1 1 1 1 1 ...
2 | 1 3 8 20 49 119 288 ...
3 | 1 8 45 234 1193 6049 30616 ...
4 | 1 20 234 2423 24455 245972 2473317 ...
5 | 1 49 1193 24455 482443 9469361 185899132 ...
6 | 1 119 6049 245972 9469361 360923899 13742823032 ...
7 | 1 288 30616 2473317 185899132 13742823032 1012326365581 ...
...
CROSSREFS
Main diagonal is A163002.
Sequence in context: A238688 A174117 A157210 * A359575 A034801 A331890
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, Jan 06 2023
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 April 17 04:44 EDT 2024. Contains 371756 sequences. (Running on oeis4.)