OFFSET
1,3
COMMENTS
Table starts
..1....1.....1......1......1.......1.......1........1........1........1.......1
..2....3.....4......5......6.......7.......8........9.......10.......11......12
..1....4.....7.....12.....17......24......31.......40.......49.......60......71
..4...15....35.....72....128.....205.....311......448......618......829....1083
..4...38...140....390....866....1702....3014.....4984.....7774....11620...16716
.11..136...731...2606...7179...16660...34233....64220...112263...185506..292759
.15..458..3740..17771..60778..168453..401634...857433..1679810..3074315.5321674
.43.1781.20888.128598.541494.1778878.4907310.11891268.26069478.52776268
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..148
FORMULA
Empirical for row n:
n=2: a(k) = 2*a(k-1) - a(k-2).
n=3: a(k) = 2*a(k-1) - 2*a(k-3) + a(k-4).
n=4: a(k) = 3*a(k-1) - 3*a(k-2) + 2*a(k-3) - 3*a(k-4) + 3*a(k-5) - a(k-6).
n=5: a(k) = 2*a(k-1) - a(k-3) - 2*a(k-5) + 2*a(k-6) + a(k-8) - 2*a(k-10) + a(k-11).
n=6: a(k) = 5*a(k-1) - 10*a(k-2) + 11*a(k-3) - 10*a(k-4) + 11*a(k-5) - 10*a(k-6) + 5*a(k-7) - a(k-8) for k > 9.
EXAMPLE
Some solutions for n=6, k=6:
.-5...-4...-5...-6...-6...-5...-6...-4...-3...-6...-6...-3...-5...-5...-6...-4
..0....0...-2...-3...-2...-4...-5...-3...-1....5....2...-2....0....2...-2....2
.-2...-2....2....4....0...-1....4....0...-1...-5....0...-2...-3...-4....6...-4
..2....2...-2....3....1....5....3....4....1....0...-4....5....2....1...-4....4
..5....0....5...-2....1....0....4....3...-2....0....6....0....5....0....0...-4
..0....4....2....4....6....5....0....0....6....6....2....2....1....6....6....6
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 09 2012
STATUS
approved