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!)
A231263 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order 14
2, 3, 6, 4, 15, 22, 7, 32, 89, 86, 12, 83, 304, 547, 342, 23, 211, 1253, 2982, 3381, 1366, 44, 557, 5109, 19503, 29366, 20911, 5462, 87, 1471, 21894, 126851, 302121, 289230, 129329, 21846, 172, 3909, 94234, 866396, 3130708, 4670875, 2848550, 799835, 87382 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......2........3..........4............7.............12...............23
......6.......15.........32...........83............211..............557
.....22.......89........304.........1253...........5109............21894
.....86......547.......2982........19503.........126851...........866396
....342.....3381......29366.......302121........3130708.........34170727
...1366....20911.....289230......4670875.......77333664.......1350570015
...5462...129329....2848550.....72212345.....1911322499......53369789699
..21846...799835...28054534...1116538567....47238533054....2108712981800
..87382..4946509..276301638..17264116873..1167469879103...83318930054700
.349526.30591143.2721223974.266940042371.28853204049176.3292096503338981
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 5*a(n-1) -4*a(n-2)
k=2: a(n) = 10*a(n-1) -29*a(n-2) +36*a(n-3) -16*a(n-4)
k=3: [order 7]
k=4: [order 12]
k=5: [order 32]
k=6: [order 67] for n>68
Empirical for row n:
n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3)
n=2: [order 9]
n=3: [order 27] for n>28
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..0..1....0..0..0..0..0....0..0..1..1..1....0..0..1..1..1
..0..0..0..1..0....0..0..0..0..0....0..1..0..0..0....0..1..1..1..1
..1..1..1..0..0....0..1..1..1..0....1..0..2..2..1....2..2..0..0..2
..1..1..1..1..1....1..1..1..0..0....0..2..2..1..1....2..0..0..2..2
CROSSREFS
Column 1 is A047849
Row 1 is A023105(n+1)
Sequence in context: A237125 A227296 A318846 * A231451 A126063 A214352
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 06 2013
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 March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)