A180296 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-6.

1, 1106, 9912, 27600, 54450, 96030, 160888, 259896, 406980, 620160, 922488, 1343034, 1917993, 2691920, 3719100, 5065060, 6808230, 9041760, 11875500, 15438150, 19879587, 25373376, 32119472, 40347120, 50317960, 62329344, 76717872

Offset

7,2

Links

R. H. Hardin, Table of n, a(n) for n=7..59

Formula

Empirical: a(n) = n*binomial(n+4,n-2) for n>12.

Crossrefs

n-6th entry in rows of A180281.

Sequence in context: A275881 A291616 A291612 * A252552 A295991 A157376

Adjacent sequences: A180293 A180294 A180295 * A180297 A180298 A180299

Keyword

nonn

Author

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

Status

approved