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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240381 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero 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 10
2, 2, 4, 4, 10, 10, 4, 38, 44, 22, 8, 90, 330, 148, 50, 8, 366, 1494, 2066, 636, 114, 16, 878, 12234, 17550, 16994, 2430, 258, 16, 3606, 57722, 279886, 281186, 116030, 9648, 586, 32, 8666, 477574, 2545618, 8802558, 3502886, 884792, 37946, 1330, 32, 35602 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

....4.....10........38...........90...........366............878...........3606

...10.....44.......330.........1494.........12234..........57722.........477574

...22....148......2066........17550........279886........2545618.......41758418

...50....636.....16994.......281186.......8802558......157432290.....5145703760

..114...2430....116030......3502886.....207932244.....7149227810...457988195982

..258...9648....884792.....52375114....6169009514...422227556156.54164128056204

..586..37946...6273952....672652728..148090588518.19320096061230

.1330.149336..46648918...9771038498.4275011910288

.3018.588102.335571098.127878632630

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3)

k=2: [order 14] for n>15

Empirical for row n:

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

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

n=3: [order 48] for n>50

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A078040

Row 1 is A016116(n+1)

Sequence in context: A114338 A170831 A133406 * A295746 A272104 A285436

Adjacent sequences:  A240378 A240379 A240380 * A240382 A240383 A240384

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 May 20 03:10 EDT 2019. Contains 323412 sequences. (Running on oeis4.)