A180293 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-3.

1, 50, 195, 392, 672, 1080, 1650, 2420, 3432, 4732, 6370, 8400, 10880, 13872, 17442, 21660, 26600, 32340, 38962, 46552, 55200, 65000, 76050, 88452, 102312, 117740, 134850, 153760, 174592, 197472, 222530, 249900, 279720, 312132, 347282, 385320

Offset

4,2

Links

R. H. Hardin, Table of n, a(n) for n=4..59

Formula

Empirical: a(n) = n*binomial(n+1, n-2) for n>6.

Crossrefs

(n-3)rd entry in rows of A180281.

Sequence in context: A244699 A244700 A244701 * A031692 A173141 A115592

Adjacent sequences: A180290 A180291 A180292 * A180294 A180295 A180296

Keyword

nonn

Author

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

Status

approved