login
A216635
T(n,k)=Number of nondecreasing arrays of n 0..n-1 integers with the sum of their k'th powers equal to sum(i^k,i=0..n-1)
7
1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, 1, 12, 1, 1, 1, 1, 2, 32, 1, 1, 1, 1, 1, 4, 94, 1, 1, 1, 1, 1, 1, 14, 289, 1, 1, 1, 1, 1, 1, 3, 37, 910, 1, 1, 1, 1, 1, 1, 2, 8, 105, 2934, 1, 1, 1, 1, 1, 1, 1, 3, 18, 309, 9686, 1, 1, 1, 1, 1, 1, 1, 1, 6, 42, 939, 32540, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 100, 2903
OFFSET
1,6
COMMENTS
Table starts
.......1......1.....1....1...1..1.1.1.1
.......1......1.....1....1...1..1.1.1.1
.......2......1.....1....1...1..1.1.1.1
.......5......1.....1....1...1..1.1.1.1
......12......2.....1....1...1..1.1.1.1
......32......4.....1....1...1..1.1.1.1
......94.....14.....3....2...1..1.1.1.1
.....289.....37.....8....3...1..1.1.1.1
.....910....105....18....6...1..1.1.1.1
....2934....309....42...12...1..1.1.1.1
....9686....939...100...24...1..2.1.1.1
...32540...2903...265...63...2..2.1.1.1
..110780...8865...775..164...7..2.1.1.1
..381676..28163..2241..424..15..5.1.1.1
.1328980..90648..6709.1163..33.11.1.1.1
.4669367.297615.20661.2919.100.18.1.1.1
LINKS
EXAMPLE
All solutions for n=8 k=4
..1....0....0
..4....1....1
..4....2....3
..4....3....3
..4....4....5
..5....5....6
..5....6....6
..7....7....6
CROSSREFS
Column 1 is A002838(n-1)
sum 1..n instead of 0..n-1: A216645
Sequence in context: A331572 A127080 A216645 * A213945 A290771 A014651
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 11 2012
STATUS
approved