A180297 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-7.

1, 3138, 35850, 110715, 228294, 412698, 705341, 1162800, 1860480, 2899248, 4412826, 6575976, 9614000, 13813800, 19536660, 27232920, 37458720, 50895000, 68368950, 90878112, 119617344, 156008864, 201735600, 258778080, 329455104

Offset: 8

Author

R. H. Hardin, formula from Robert Gerbicz in the Sequence Fans Mailing List, Aug 24 2010

Keywords

• nonn

Links

• R. H. Hardin, Table of n, a(n) for n=8..59

Crossrefs

n-7th entry in rows of A180281

Formula

Empirical: a(n)=n*binomial(n+5,n-2) for n>14