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 A325279 Number of integer partitions of n whose maximum multiplicity is one greater than their minimum multiplicity. 1
 0, 0, 0, 0, 1, 2, 1, 5, 6, 9, 10, 18, 18, 31, 34, 48, 57, 80, 86, 122, 138, 183, 211, 275, 311, 402, 461, 576, 663, 825, 942, 1163, 1334, 1621, 1865, 2248, 2566, 3084, 3532, 4193, 4794, 5674, 6472, 7617, 8685, 10153, 11576, 13483, 15320, 17790, 20200, 23342 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS The Heinz numbers of these partitions are given by A325241. For example, the partition (44111) has two multiplicities (2 and 3) which differ by 1, so is counted under a(11). LINKS EXAMPLE The a(4) = 1 through a(11) = 18 partitions:   (211)  (221)  (411)  (322)    (332)    (441)    (433)      (443)          (311)         (331)    (422)    (522)    (442)      (533)                        (511)    (611)    (711)    (622)      (551)                        (3211)   (3221)   (3321)   (811)      (722)                        (22111)  (4211)   (4221)   (5221)     (911)                                 (22211)  (4311)   (5311)     (4322)                                          (5211)   (6211)     (4331)                                          (32211)  (33211)    (4421)                                          (33111)  (42211)    (5411)                                                   (2221111)  (6221)                                                              (6311)                                                              (7211)                                                              (33221)                                                              (33311)                                                              (43211)                                                              (44111)                                                              (52211)                                                              (2222111) MATHEMATICA Table[Length[Select[IntegerPartitions[n], Max@@Length/@Split[#]-Min@@Length/@Split[#]==1&]], {n, 0, 30}] CROSSREFS Cf. A047966, A062770, A071625, A098859, A117571, A127002, A325242, A325244, A325245, A325280. Sequence in context: A026214 A026221 A030740 * A095242 A125080 A217105 Adjacent sequences:  A325276 A325277 A325278 * A325280 A325281 A325282 KEYWORD nonn AUTHOR Gus Wiseman, Apr 18 2019 STATUS approved

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Last modified September 19 15:24 EDT 2019. Contains 327198 sequences. (Running on oeis4.)