OFFSET
1,1
COMMENTS
Table starts
....5......9......13.......17........21.........25.........29..........33
...15.....49.....103......177.......271........385........519.........673
...31....199.....625.....1429......2731.......4651.......7309.......10825
...63....665....3151.....9705.....23351......47953......88215......149681
..127...2059...14053....58141....176851.....439927.....951049.....1854553
..255...6305...58975...320481...1225631....3693505....9399615....21108545
..511..19171..242461..1688101...8006491...29066311...86929081...224817481
.1023..58025..989527..8717049..50556551..219071473..766106895..2276277137
.2047.175099.4017157.44633821.313882531.1609259287.6537612649.22222129177
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..310
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) -2*a(n-2) for n>3
k=2: a(n) = 5*a(n-1) -6*a(n-2) for n>5
k=3: a(n) = 7*a(n-1) -12*a(n-2) for n>7
k=4: a(n) = 9*a(n-1) -20*a(n-2) for n>9
k=5: a(n) = 11*a(n-1) -30*a(n-2) for n>11
k=6: a(n) = 13*a(n-1) -42*a(n-2) for n>13
k=7: a(n) = 15*a(n-1) -56*a(n-2) for n>15
Empirical for row n:
n=1: a(n) = 4*n + 1
n=2: a(n) = 10*n^2 + 4*n + 1
n=3: a(n) = 20*n^3 + 9*n^2 + 1*n + 1
n=4: a(n) = 35*n^4 + 14*n^3 - 17*n^2 + 30*n + 1
n=5: a(n) = 56*n^5 + 14*n^4 - 108*n^3 + 289*n^2 - 125*n + 1
n=6: a(n) = 84*n^6 - 402*n^4 + 1656*n^3 - 1860*n^2 + 776*n + 1
n=7: a(n) = 120*n^7 - 42*n^6 - 1158*n^5 + 6945*n^4 - 13980*n^3 + 13512*n^2 - 4887*n + 1
EXAMPLE
Some solutions for n=4 k=4
..4...-5....3...-3....6...-4...-3...-5...-8....1....5...-2....4...-3...-1...-6
.-6....7....1...-2...-6....1....4....5....6...-5...-5....1....0....0...-3....4
..2...-3...-1....5....4....2....0...-2...-2....5....7....1....0...-3....3....1
.-2...-1...-2...-1...-6....0...-4....4....1....2...-7....1....4....6...-4...-6
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Aug 16 2013
STATUS
approved