A240327 - OEIS

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A240327

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 one plus the sum of the elements diagonally to its northwest, modulo 4

2, 2, 2, 4, 5, 4, 6, 17, 17, 6, 8, 37, 116, 37, 8, 14, 80, 455, 455, 80, 14, 20, 213, 1677, 3374, 1677, 213, 20, 30, 443, 8091, 21455, 21455, 8091, 443, 30, 48, 1028, 28448, 189549, 247187, 189549, 28448, 1028, 48, 70, 2511, 117304, 1190246, 3898804

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Table starts

..2....2.......4.........6............8............14............20

..2....5......17........37...........80...........213...........443

..4...17.....116.......455.........1677..........8091.........28448

..6...37.....455......3374........21455........189549.......1190246

..8...80....1677.....21455.......247187.......3898804......43979526

.14..213....8091....189549......3898804.....113751796....2343565571

.20..443...28448...1190246.....43979526....2343565571...88562956949

.30.1028..117304...8903613....602874070...58754628922.4085612680937

.48.2511..513841..70945972...8649395684.1550370290554

.70.5370.1871262.460466581.101952716878

LINKS

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

FORMULA

Empirical for column k:

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

k=2: [order 13] for n>14

EXAMPLE

Some solutions for n=4 k=4

..3..2..3..2....3..2..3..3....2..3..3..2....3..2..2..2....3..2..3..2

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

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

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

CROSSREFS

Column 1 is A239851

Sequence in context: A151680 A231351 A024681 * A308771 A007495 A122385

Adjacent sequences: A240324 A240325 A240326 * A240328 A240329 A240330

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 03 2014

STATUS

approved