login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A324516 Number of integer partitions of n > 0 where the maximum part minus the minimum part equals the length minus the number of distinct parts. 7
1, 1, 1, 2, 2, 2, 2, 5, 2, 8, 6, 6, 10, 14, 12, 20, 27, 23, 40, 40, 51, 62, 82, 88, 123, 135, 173, 197, 253, 285, 350, 419, 497, 594, 708, 855, 978, 1195, 1395, 1648, 1915, 2313, 2625, 3170, 3625, 4336, 4948, 5900, 6751, 7970, 9180, 10704, 12337, 14436, 16517 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

The Heinz numbers of these integer partitions are given by A324515.

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

The a(8) = 5 through a(14) = 14 integer partitions:

  (8)      (9)      (A)       (B)       (C)        (D)        (E)

  (332)    (32211)  (433)     (443)     (4422)     (544)      (554)

  (3311)            (3331)    (33221)   (33321)    (43222)    (4442)

  (32111)           (4222)    (44111)   (422211)   (52222)    (5333)

  (41111)           (32221)   (422111)  (5211111)  (422221)   (43322)

                    (33211)   (431111)  (6111111)  (433111)   (44411)

                    (421111)                       (442111)   (442211)

                    (511111)                       (4321111)  (443111)

                                                   (5221111)  (551111)

                                                   (5311111)  (4322111)

                                                              (5222111)

                                                              (5411111)

                                                              (62111111)

                                                              (71111111)

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], Max@@#-Min@@#==Length[#]-Length[Union[#]]&]], {n, 30}]

CROSSREFS

Cf. A006141, A039900, A046660, A047993, A064174, A243055.

Cf. A324515, A324518, A324520.

Sequence in context: A224254 A107604 A080647 * A181058 A301452 A322788

Adjacent sequences:  A324513 A324514 A324515 * A324517 A324518 A324519

KEYWORD

nonn

AUTHOR

Gus Wiseman, Mar 06 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 10 12:43 EST 2019. Contains 329896 sequences. (Running on oeis4.)