A180300 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-10.

1, 73788, 1645215, 6838832, 16011905, 30931296, 55439448, 95585220, 160286166, 262462010, 420630210, 660990330, 1020099795, 1548293760, 2314026000, 3409331640, 4956643692, 7117231968, 10101573944, 14182012680, 19708107276

Offset

11,2

Links

R. H. Hardin, Table of n, a(n) for n=11..59

Formula

Empirical: a(n)=n*binomial(n+8,n-2) for n>20.

Crossrefs

n-10th entry in rows of A180281.

Sequence in context: A365309 A105648 A337740 * A172640 A172741 A172820

Adjacent sequences: A180297 A180298 A180299 * A180301 A180302 A180303

Keyword

nonn

Author

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

Status

approved