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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240321 T(n,k)=Number of nXk 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4 6
2, 2, 2, 4, 4, 4, 4, 18, 18, 4, 8, 44, 172, 44, 8, 8, 184, 866, 866, 184, 8, 16, 444, 7326, 8456, 7326, 444, 16, 16, 1826, 35042, 143682, 143682, 35042, 1826, 16, 32, 4388, 291982, 1352558, 4934092, 1352558, 291982, 4388, 32, 32, 18022, 1387224, 22643786 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

..2.....4.......18..........44............184.............444.............1826

..4....18......172.........866...........7326...........35042...........291982

..4....44......866........8456.........143682.........1352558.........22643786

..8...184.....7326......143682........4934092........92600224.......3120733284

..8...444....35042.....1352558.......92600224......3462370700.....233738937688

.16..1826...291982....22643786.....3120733284....233738937688...31675283550406

.16..4388..1387224...211572262....58052954898...8672268288766.2350783897073214

.32.18022.11520638..3529400774..1946100075968.582902538705858

.32.43300.54650290.32917918872.36103692985126

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

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

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

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

CROSSREFS

Column 1 is A016116(n+1)

Sequence in context: A287654 A113402 A238726 * A054861 A187324 A086227

Adjacent sequences:  A240318 A240319 A240320 * A240322 A240323 A240324

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 03 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified January 19 22:02 EST 2018. Contains 297938 sequences.