A240153 - OEIS

A240153

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4

2, 3, 3, 4, 5, 4, 7, 8, 11, 7, 10, 19, 20, 25, 10, 15, 36, 107, 67, 62, 15, 24, 57, 186, 676, 254, 144, 24, 35, 120, 450, 1328, 3993, 825, 329, 35, 54, 218, 1641, 5701, 11742, 22412, 2667, 775, 54, 83, 377, 2788, 24419, 88214, 108201, 131005, 8652, 1781, 83, 124, 758

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

OFFSET

1,1

COMMENTS

Table starts

..2....3.....4........7.........10..........15..........24.........35

..3....5.....8.......19.........36..........57.........120........218

..4...11....20......107........186.........450........1641.......2788

..7...25....67......676.......1328........5701.......24419......52676

.10...62...254.....3993......11742.......88214......536744....1652584

.15..144...825....22412.....108201.....1608415....12812998...70360014

.24..329..2667...131005....1056699....30542203...417799464.3795213209

.35..775..8652...731518...10526838...584983851.14482686630

.54.1781.27929..4144347..107361960.11643589675

.83.4150.91436.23263202.1116331018

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

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

k=2: [order 34] for n>36

Empirical for row n:

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

n=2: [order 17] for n>19

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Row and column 1 are A159288(n+1)

Sequence in context: A374131 A357431 A361383 * A241435 A349320 A078338

Adjacent sequences: A240150 A240151 A240152 * A240154 A240155 A240156

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 02 2014

STATUS

approved