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A238775 T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum modulo 4 of elements to its left or elements above it 9
3, 6, 6, 14, 30, 14, 32, 156, 156, 32, 72, 810, 1888, 810, 72, 164, 4106, 22242, 22242, 4106, 164, 372, 21132, 258720, 604412, 258720, 21132, 372, 844, 108124, 3044922, 16041854, 16041854, 3044922, 108124, 844, 1916, 553828, 35640158, 432845880 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....3.......6.........14............32................72..................164

....6......30........156...........810..............4106................21132

...14.....156.......1888.........22242............258720..............3044922

...32.....810......22242........604412..........16041854............432845880

...72....4106.....258720......16041854.........976810146..........60277582112

..164...21132....3044922.....432845880.......60277582112........8524103612876

..372..108124...35640158...11591229010.....3697656930974.....1196624830872094

..844..553828..417759376..311132395064...227187542722224...168396084501288492

.1916.2837376.4896355616.8346793174230.13955749970865816.23680768603975178514

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

k=2: [order 10]

k=3: [order 35]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Sequence in context: A239424 A119306 A107972 * A269525 A341885 A036252

Adjacent sequences:  A238772 A238773 A238774 * A238776 A238777 A238778

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 05 2014

STATUS

approved

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Last modified June 30 09:38 EDT 2022. Contains 354920 sequences. (Running on oeis4.)