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 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 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

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