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!)
A279134 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 7
0, 1, 1, 0, 0, 0, 3, 9, 9, 3, 3, 34, 66, 34, 3, 9, 87, 256, 256, 87, 9, 15, 194, 820, 1324, 820, 194, 15, 31, 400, 2551, 6396, 6396, 2551, 400, 31, 57, 790, 7491, 30074, 47452, 30074, 7491, 790, 57, 108, 1511, 21131, 129264, 316516, 316516, 129264, 21131, 1511, 108 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

...0....1......0.......3.........3...........9...........15.............31

...1....0......9......34........87.........194..........400............790

...0....9.....66.....256.......820........2551.........7491..........21131

...3...34....256....1324......6396.......30074.......129264.........535814

...3...87....820....6396.....47452......316516......2017028.......12376570

...9..194...2551...30074....316516.....3125600.....29410145......266502710

..15..400...7491..129264...2017028....29410145....409061044.....5488392521

..31..790..21131..535814..12376570...266502710...5488392521...109117856920

..57.1511..57971.2150797..73672888..2346800921..71618045798..2111166039927

.108.2830.155551.8418336.428568648.20197483932.913912909445.39962431131266

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6)

k=2: [order 8] for n>9

k=3: [order 11] for n>17

k=4: [order 43] for n>50

k=5: [order 88] for n>108

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A105423(n-2).

Sequence in context: A103555 A157349 A159811 * A083352 A243350 A091559

Adjacent sequences:  A279131 A279132 A279133 * A279135 A279136 A279137

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 06 2016

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 27 03:16 EST 2021. Contains 349345 sequences. (Running on oeis4.)