The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A297607 T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. 13
2, 4, 4, 7, 11, 8, 13, 35, 35, 16, 24, 96, 181, 106, 32, 44, 281, 787, 953, 327, 64, 81, 829, 3691, 6413, 4997, 1003, 128, 149, 2428, 17186, 49198, 52512, 26155, 3082, 256, 274, 7059, 80140, 368007, 654033, 429491, 137033, 9465, 512, 504, 20611, 371557 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...2.....4.......7........13..........24............44..............81
...4....11......35........96.........281...........829............2428
...8....35.....181.......787........3691.........17186...........80140
..16...106.....953......6413.......49198........368007.........2781983
..32...327....4997.....52512......654033.......7847849........95770934
..64..1003...26155....429491.....8689859.....167209522......3295502717
.128..3082..137033...3514058...115571432....3567494618....113592447685
.256..9465..717905..28752016..1536728161...76095857063...3914150992637
.512.29073.3760657.235246416.20433704585.1623142226575.134873268392766
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 2*a(n-1) +3*a(n-2) +a(n-3) -a(n-5)
k=3: [order 11]
k=4: [order 32]
k=5: [order 55]
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2) +a(n-3)
n=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +12*a(n-4) -12*a(n-6)
n=3: [order 13]
n=4: [order 34]
n=5: [order 96]
EXAMPLE
Some solutions for n=4 k=4
..1..0..1..0. .0..0..1..0. .0..0..0..1. .0..0..1..0. .1..0..1..1
..0..0..1..0. .1..0..0..1. .1..0..1..0. .0..0..0..1. .1..0..0..0
..0..0..0..0. .0..1..0..1. .1..0..0..0. .0..0..0..0. .0..0..0..1
..1..0..1..1. .0..1..0..1. .0..0..1..1. .0..1..0..0. .0..1..1..1
CROSSREFS
Column 1 is A000079.
Column 2 is A295247.
Row 1 is A000073(n+3).
Sequence in context: A269075 A283543 A297682 * A223770 A223777 A227089
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 27 14:41 EDT 2024. Contains 372861 sequences. (Running on oeis4.)