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A241283 T(n,k)=Number of nXk 0..3 arrays with no element equal to one 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 or one plus the sum of the elements antidiagonally to its northeast, modulo 4 12
2, 3, 4, 4, 3, 10, 7, 5, 9, 24, 10, 13, 41, 36, 56, 15, 17, 126, 236, 139, 132, 24, 35, 224, 773, 1615, 532, 312, 35, 90, 934, 1800, 6783, 12356, 2111, 736, 54, 141, 2741, 16843, 20717, 77955, 96171, 8473, 1736, 83, 288, 5225, 54167, 451318, 309657, 1009773 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....2......3........4..........7..........10............15...........24

....4......3........5.........13..........17............35...........90

...10......9.......41........126.........224...........934.........2741

...24.....36......236........773........1800.........16843........54167

...56....139.....1615.......6783.......20717........451318......1543713

..132....532....12356......77955......309657......15616828.....60486552

..312...2111....96171....1009773.....5423164.....730435588...2949336562

..736...8473...761754...14440961...113305157...40083129145.193899487190

.1736..34053..6079503..217830879..2759021846.2390612565177

.4096.136880.48655224.3381893022.75062814060

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

k=2: [order 31]

Empirical for row n:

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

n=2: [order 17] for n>18

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A052912

Row 1 is A159288(n+1)

Sequence in context: A286549 A286551 A290097 * A274095 A263408 A109870

Adjacent sequences:  A241280 A241281 A241282 * A241284 A241285 A241286

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 18 2014

STATUS

approved

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Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)