|
|
A218568
|
|
Number of partitions p of n such that max(p)-min(p) = 5.
|
|
3
|
|
|
1, 1, 3, 3, 7, 8, 14, 17, 26, 31, 45, 54, 73, 87, 114, 135, 171, 200, 249, 290, 352, 406, 487, 560, 660, 752, 879, 997, 1153, 1298, 1489, 1671, 1900, 2121, 2397, 2665, 2992, 3311, 3701, 4081, 4535, 4982, 5514, 6042, 6655, 7265, 7977, 8686, 9502, 10314, 11248
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
7,3
|
|
LINKS
|
|
|
FORMULA
|
G.f.: Sum_{k>0} x^(2*k+5)/Product_{j=0..5} (1-x^(k+j)).
|
|
MATHEMATICA
|
Table[Count[IntegerPartitions[n], _?(Max[#]-Min[#]==5&)], {n, 7, 60}] (* Harvey P. Dale, Sep 25 2015 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|