A180285 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 5.

5, 30, 147, 672, 2970, 12825, 54450, 228294, 948090, 3907995, 16011905, 65280800, 265055772, 1072443810, 4326290424, 17407489065, 69884197635, 280002750720, 1119913829375, 4472279679846, 17834705765630, 71032337773930, 282586675707180, 1123047360182475

Offset

5,1

Links

Alois P. Heinz, Table of n, a(n) for n = 5..1687 (terms n=5..59 from R. H. Hardin)

Maple

b:= proc(n, i, k) option remember; `if`(n=0, 1,
      `if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))
    end:
a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(5):
seq(a(n), n=5..30);  # Alois P. Heinz, Aug 17 2018

Crossrefs

Column 5 of A180281.

Sequence in context: A359094 A255052 A282086 * A344064 A055298 A104891

Adjacent sequences: A180282 A180283 A180284 * A180286 A180287 A180288

Keyword

nonn

Author

R. H. Hardin, Aug 24 2010

Status

approved