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A241306 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4 12
2, 2, 5, 4, 6, 11, 6, 15, 6, 25, 8, 25, 37, 12, 57, 14, 40, 74, 116, 16, 129, 20, 89, 186, 330, 304, 28, 293, 30, 121, 646, 1462, 1145, 869, 38, 665, 48, 237, 1278, 5757, 6718, 4499, 2398, 66, 1509, 70, 390, 3418, 22343, 49918, 41336, 15827, 6813, 92, 3425, 108, 682 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....2...2.....4......6........8.........14..........20..........30..........48

....5...6....15.....25.......40.........89.........121.........237.........390

...11...6....37.....74......186........646........1278........3418........9113

...25..12...116....330.....1462.......5757.......22343.......79043......304799

...57..16...304...1145.....6718......49918......283985.....1666242.....9581018

..129..28...869...4499....41336.....490486.....5098814....41458261...447396605

..293..38..2398..15827...217785....3893262....70316883...978925384.16677156613

..665..66..6813..58043..1215485...37039909..1194164944.30759996872

.1509..92.18782.209838..6526016..307030328.16586413847

.3425.154.53067.757771.35833494.2801405991

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..126

FORMULA

Empirical for column k:

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

k=2: a(n) = 2*a(n-2) +a(n-3) -a(n-5)

Empirical for row n:

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

n=2: [order 14] for n>20

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A239812

Row 1 is A239851

Sequence in context: A284127 A261114 A284827 * A266792 A162200 A290289

Adjacent sequences:  A241303 A241304 A241305 * A241307 A241308 A241309

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 18 2014

STATUS

approved

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Last modified June 16 12:38 EDT 2019. Contains 324152 sequences. (Running on oeis4.)