A184848 T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i*x(i)^4 equal to n*k^4

1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 4, 1, 1, 2, 2, 6, 7, 5, 1, 1, 2, 2, 3, 10, 13, 6, 1, 1, 2, 2, 3, 13, 17, 25, 8, 1, 1, 2, 2, 6, 8, 33, 45, 54, 10, 1, 1, 2, 2, 3, 16, 33, 113, 153, 122, 12, 1, 1, 2, 2, 3, 19, 76, 183, 433, 561, 253, 15, 1, 1, 2, 2, 15, 34, 76, 388, 1136

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

..2...2...2....2....2.....2.....2.....2......2......2......2......2......2

..2...2...2....2....2.....2.....2.....2......2......2......2......2......2

..3...3...6....3....3.....6.....3.....3.....15......3......6......6......6

..4...7..10...13....8....16....19....34.....54.....22.....31.....55.....55

..5..13..17...33...33....76....76...137....138....196....240....398....287

..6..25..45..113..183...388...476...810...1300...1671...2367...3609...3980

..8..54.153..433.1136..2152..3627..6367..10682..22301..26183..38093..52046

.10.122.561.2358.5506.13887.30780.66564.128755.203637.338413.552675.897445

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

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

Crossrefs

Column 1 is A000009

Sequence in context: A355802 A156593 A206498 * A184720 A054526 A113453

Adjacent sequences: A184845 A184846 A184847 * A184849 A184850 A184851

Keyword

nonn,tabl

Author

R. H. Hardin Jan 23 2011

Status

approved