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A230398 T(n,k)=Number of nXk 0..4 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero 6
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 82, 82, 2, 0, 0, 8, 842, 3200, 842, 8, 0, 0, 32, 9068, 88580, 88580, 9068, 32, 0, 0, 120, 92538, 2467778, 6605632, 2467778, 92538, 120, 0, 0, 430, 934880, 68210356, 501998702, 501998702, 68210356, 934880, 430, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,17

COMMENTS

Table starts

.0...0......0..........0.............0..............0..............0

.0...0......0..........0.............2..............8.............32

.0...0......0.........82...........842...........9068..........92538

.0...0.....82.......3200.........88580........2467778.......68210356

.0...2....842......88580.......6605632......501998702....36506815072

.0...8...9068....2467778.....501998702....99394999376.18905431728130

.0..32..92538...68210356...36506815072.18905431728130

.0.120.934880.1854786186.2615818813066

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..83

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 4*a(n-1) -4*a(n-3) -9*a(n-4) -6*a(n-5)

k=3: [order 31]

EXAMPLE

Some solutions for n=3 k=4

..0..4..3..2....0..1..2..3....0..4..3..2....0..4..4..0....0..1..0..3

..1..2..0..1....4..0..3..4....1..2..3..1....1..2..3..1....4..2..3..4

..2..3..4..0....3..2..1..0....0..1..4..0....0..4..3..2....3..2..1..0

CROSSREFS

Sequence in context: A209585 A090603 A020955 * A120826 A259308 A202965

Adjacent sequences:  A230395 A230396 A230397 * A230399 A230400 A230401

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 18 2013

STATUS

approved

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Last modified February 19 16:24 EST 2020. Contains 332045 sequences. (Running on oeis4.)