login
This site is supported by donations to The OEIS Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240433 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4 6
2, 2, 2, 4, 6, 4, 4, 24, 24, 4, 8, 58, 206, 58, 8, 8, 236, 970, 970, 236, 8, 16, 566, 8084, 9036, 8084, 566, 16, 16, 2322, 38406, 150350, 150350, 38406, 2322, 16, 32, 5578, 319164, 1404008, 5087802, 1404008, 319164, 5578, 32, 32, 22912, 1514122, 23414762 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2.....2........4...........4..............8...............8...............16

..2.....6.......24..........58............236.............566.............2322

..4....24......206.........970...........8084...........38406...........319164

..4....58......970........9036.........150350.........1404008.........23414762

..8...236.....8084......150350........5087802........94860720.......3184383016

..8...566....38406.....1404008.......94860720......3523795084.....237034323164

.16..2322...319164....23414762.....3184383016....237034323164...32020507274002

.16..5578..1514122...218412550....59125702284...8779074387924.2372829502697230

.32.22912.12567490..3639548326..1979684295626.589446737374098

.32.55054.59600672.33928317272.36705060609854

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-2)

k=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8)

k=3: [order 48]

EXAMPLE

Some solutions for n=4 k=4

..3..1..1..3....1..3..3..1....1..3..3..1....1..3..3..1....1..3..3..1

..1..2..2..2....3..2..2..0....3..2..2..0....3..2..2..0....3..0..2..2

..1..2..1..3....1..0..0..0....3..0..0..0....3..2..0..2....3..0..2..0

..3..2..3..2....3..2..0..3....1..2..2..0....1..0..2..0....1..0..2..0

CROSSREFS

Column 1 is A016116(n+1)

Sequence in context: A278231 A152968 A222177 * A217637 A231515 A231544

Adjacent sequences:  A240430 A240431 A240432 * A240434 A240435 A240436

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 04 2014

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 January 20 02:13 EST 2019. Contains 319320 sequences. (Running on oeis4.)