A184441 T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i*x(i)^2 equal to n*k^2

1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 5, 3, 1, 1, 3, 5, 8, 4, 1, 1, 5, 10, 19, 17, 5, 1, 1, 5, 14, 32, 51, 31, 6, 1, 1, 5, 15, 39, 116, 130, 63, 8, 1, 2, 3, 14, 92, 238, 368, 359, 129, 10, 1, 1, 5, 28, 101, 436, 915, 1235, 946, 244, 12, 1, 1, 10, 23, 146, 715, 1993, 3532, 4321, 2333

Offset

1,6

Comments

Table starts

..1...1....1.....1.....1......1......1.......1.......1.......1........1

..1...1....1.....1.....1......1......1.......1.......2.......1........1

..2...3....2.....3.....5......5......5.......3.......5......10........5

..2...5....5....10....14.....15.....14......28......23......46.......36

..3...8...19....32....39.....92....101.....146.....255.....255......315

..4..17...51...116...238....436....715....1160....1829....2466.....3591

..5..31..130...368...915...1993...3818....6805...11052...18352....28860

..6..63..359..1235..3532...9478..19257...38560...77476..126541...210018

..8.129..946..4321.15165..43638.109623..248861..513211..997735..1828762

.10.244.2333.13396.56094.187235.541179.1376999.3121413.6729888.13453502

Links

R. H. Hardin, Table of n, a(n) for n = 1..643

Example

Some solutions for n=6 k=5
..4....5....3....5....1....5....4....2....2....1....1....3....3....5....5....4
..2....2....2....0....1....1....2....2....5....4....3....5....5....4....4....1
..5....2....3....0....2....5....1....4....2....3....0....3....5....1....2....2
..0....3....5....0....1....1....4....4....1....2....0....4....2....1....3....2
..3....3....0....5....5....2....1....2....4....2....5....0....0....4....3....4
..1....2....1....0....1....2....3....1....0....3....1....0....0....1....0....2

Crossrefs

Column 1 is A000009

Sequence in context: A234246 A006375 A327520 * A172279 A348285 A164953

Adjacent sequences: A184438 A184439 A184440 * A184442 A184443 A184444

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2011

Status

approved