login
A326850
Number of strict integer partitions of n whose maximum part divides n.
12
0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 4, 1, 5, 2, 6, 1, 10, 1, 10, 5, 12, 1, 23, 1, 18, 15, 23, 1, 49, 1, 34, 36, 38, 1, 106, 1, 54, 79, 81, 1, 189, 1, 124, 162, 104, 1, 412, 1, 145, 307, 289, 1, 608, 12, 437, 559, 256, 1, 1432, 1, 340, 981, 976, 79, 1730, 1
OFFSET
0,7
LINKS
Fausto A. C. Cariboni, Table of n, a(n) for n = 0..300
EXAMPLE
The initial terms count the following partitions:
1: (1)
2: (2)
3: (3)
4: (4)
5: (5)
6: (6)
6: (3,2,1)
7: (7)
8: (8)
8: (4,3,1)
9: (9)
10: (10)
10: (5,4,1)
10: (5,3,2)
11: (11)
12: (12)
12: (6,5,1)
12: (6,4,2)
12: (6,3,2,1)
13: (13)
14: (14)
14: (7,6,1)
14: (7,5,2)
14: (7,4,3)
14: (7,4,2,1)
15: (15)
15: (5,4,3,2,1)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&Divisible[n, Max[#]]&]], {n, 0, 30}]
CROSSREFS
Positions of 1's appear to be A308168.
The non-strict case is given by A067538.
Sequence in context: A260438 A112197 A112198 * A303756 A105259 A224708
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jul 28 2019
STATUS
approved