A180294 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-4.

1, 140, 735, 1652, 2970, 4950, 7865, 12012, 17745, 25480, 35700, 48960, 65892, 87210, 113715, 146300, 185955, 233772, 290950, 358800, 438750, 532350, 641277, 767340, 912485, 1078800, 1268520, 1484032, 1727880, 2002770, 2311575, 2657340, 3043287

Offset

5,2

Links

R. H. Hardin, Table of n, a(n) for n=5..59

Formula

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

Crossrefs

n-4th entry in rows of A180281.

Sequence in context: A250801 A184386 A184378 * A330446 A317984 A133711

Adjacent sequences: A180291 A180292 A180293 * A180295 A180296 A180297

Keyword

nonn

Author

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

Status

approved