A180298 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-8

1, 8952, 128865, 440374, 948090, 1754116, 3050775, 5116200, 8335338, 13238478, 20549925, 31245500, 46621575, 68378310, 98719335, 140470200, 197218125, 273475800, 374872212, 508373712, 682538780, 907810200, 1196848620, 1564911744

Offset

9,2

Links

R. H. Hardin, Table of n, a(n) for n=9..59

Formula

Empirical: a(n)=n*binomial(n+6,n-2) for n>16

Crossrefs

n-8th entry in rows of A180281

Sequence in context: A251921 A217604 A218389 * A322537 A172637 A172745

Adjacent sequences: A180295 A180296 A180297 * A180299 A180300 A180301

Keyword

nonn

Author

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

Status

approved