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A184099 T(n,k)=Number of nXk toroidal 0..2 arrays with each element having the sum of its vertical neighbors equal to the sum of its horizontal neighbors 2
3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 9, 87, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 361, 3, 9, 3, 3, 3, 87, 3, 3, 87, 3, 3, 3, 9, 3, 9, 1383, 9, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 87, 361, 3, 7569, 3, 361, 87, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 9, 3, 9, 20247, 9, 3, 9, 3, 9, 3, 3, 3, 87, 3 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Number of solutions in 0..2 of a 1-d velocity-one wave equation utt=uxx on a periodic grid

Table starts

.3.3..3...3....3....3.....3......3......3.......3.3....3.3.....3....3...3.3..3

.3.9..3...9....3....9.....3......9......3.......9.3....9.3.....9....3...9.3..9

.3.3.87...3....3...87.....3......3.....87.......3.3...87.3.....3...87...3.3.87

.3.9..3.361....3....9.....3....361......3.......9.3..361.3.....9....3.361.3..9

.3.3..3...3.1383....3.....3......3......3....1383.3....3.3.....3.1383...3.3

.3.9.87...9....3.7569.....3......9.....87.......9.3.7569.3.....9...87...9

.3.3..3...3....3....3.20247......3......3.......3.3....3.3.20247....3

.3.9..3.361....3....9.....3.126025......3.......9.3..361.3.....9

.3.3.87...3....3...87.....3......3.299463.......3.3...87.3

.3.9..3...9.1383....9.....3......9......3.1912689.3....9

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

EXAMPLE

Some solutions for 9X3

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

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A245441 A333793 A007428 * A074816 A203564 A111575

Adjacent sequences:  A184096 A184097 A184098 * A184100 A184101 A184102

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 09 2011

STATUS

approved

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Last modified September 24 12:20 EDT 2020. Contains 337318 sequences. (Running on oeis4.)