A180299 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-9

1, 25652, 461175, 1740024, 3907995, 7391475, 13058840, 22225256, 36773397, 59366450, 93736500, 145044900, 220330110, 329064450, 483841800, 701220000, 1002744600, 1416183912, 1977008880, 2730155120, 3732108600, 5053360840

Offset

10,2

Links

R. H. Hardin, Table of n, a(n) for n=10..59

Formula

Empirical: a(n)=n*binomial(n+7,n-2) for n>18

Crossrefs

n-9th entry in rows of A180281

Sequence in context: A023350 A163186 A232838 * A172644 A172747 A172818

Adjacent sequences: A180296 A180297 A180298 * A180300 A180301 A180302

Keyword

nonn

Author

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

Status

approved