A216631 Number of nondecreasing arrays of n 0..n-1 integers with the sum of their 3rd powers equal to sum(i^3,i=0..n-1)

1, 1, 1, 1, 1, 1, 3, 8, 18, 42, 100, 265, 775, 2241, 6709, 20661, 64264, 202154, 647838, 2095932, 6861091, 22703554, 75731878, 254656486, 862839461, 2942117884, 10094669306, 34837009237, 120849420979, 421291017964, 1475463672293

Offset

1,7

Comments

Column 3 of A216635

Links

Table of n, a(n) for n=1..31.

Example

All solutions for n=8
..0....1....2....1....0....0....1....0
..0....1....3....2....1....0....4....1
..2....1....4....2....2....0....4....1
..4....2....4....3....3....1....4....4
..4....5....4....3....4....2....5....5
..6....6....5....3....5....6....5....5
..6....6....6....7....6....6....5....5
..6....6....6....7....7....7....6....7

Crossrefs

Sequence in context: A191524 A026756 A341583 * A026384 A346397 A322496

Adjacent sequences: A216628 A216629 A216630 * A216632 A216633 A216634

Keyword

nonn

Author

R. H. Hardin Sep 11 2012

Status

approved