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A184101 T(n,k)=One quarter the number of nXk toroidal 0..3 arrays with each element having the sum of its vertical neighbors equal to the sum of its horizontal neighbors 2
1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 4, 85, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 484, 1, 4, 1, 1, 1, 85, 1, 1, 85, 1, 1, 1, 4, 1, 4, 3661, 4, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 85, 484, 1, 28900, 1, 484, 85, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 4, 1, 4, 137845, 4, 1, 4, 1, 4, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

One quarter the number of solutions in 0..3 of a 1-d velocity-one wave equation utt=uxx on a periodic grid

Table starts

.1.1..1...1....1.....1......1.......1..1....1.1.....1.1.1..1.1.1

.1.4..1...4....1.....4......1.......4..1....4.1.....4.1.4..1.4

.1.1.85...1....1....85......1.......1.85....1.1....85.1.1.85

.1.4..1.484....1.....4......1.....484..1....4.1...484.1.4

.1.1..1...1.3661.....1......1.......1..1.3661.1.....1.1

.1.4.85...4....1.28900......1.......4.85....4.1.28900

.1.1..1...1....1.....1.137845.......1..1....1.1

.1.4..1.484....1.....4......1.1322500..1....4

.1.1.85...1....1....85......1.......1

.1.4..1...4.3661.....4......1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

EXAMPLE

Some solutions for 9X3

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

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A110916 A185058 A204160 * A164561 A178764 A070010

Adjacent sequences:  A184098 A184099 A184100 * A184102 A184103 A184104

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 09 2011

STATUS

approved

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Last modified October 13 18:14 EDT 2019. Contains 327981 sequences. (Running on oeis4.)