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 A325325 Number of integer partitions of n with distinct differences between successive parts. 72
 1, 1, 2, 2, 4, 5, 5, 8, 11, 12, 16, 22, 21, 30, 34, 42, 49, 64, 67, 87, 95, 117, 132, 160, 169, 207, 230, 274, 301, 360, 395, 463, 506, 602, 656, 762, 834, 960, 1042, 1220, 1311, 1505, 1643, 1859, 2000, 2341, 2491, 2827, 3083, 3464, 3747, 4302, 4561, 5154 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The Heinz numbers of these partitions are given by A325368. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..123 EXAMPLE The a(0) = 1 through a(9) = 12 partitions:   ()  (1)  (2)   (3)   (4)    (5)    (6)    (7)    (8)     (9)            (11)  (21)  (22)   (32)   (33)   (43)   (44)    (54)                        (31)   (41)   (42)   (52)   (53)    (63)                        (211)  (221)  (51)   (61)   (62)    (72)                               (311)  (411)  (322)  (71)    (81)                                             (331)  (332)   (441)                                             (421)  (422)   (522)                                             (511)  (431)   (621)                                                    (521)   (711)                                                    (611)   (4221)                                                    (4211)  (4311)                                                            (5211) For example, (5,2,1,1) has differences (-3,-1,0), which are distinct, so (5,2,1,1) is counted under a(9). MATHEMATICA Table[Length[Select[IntegerPartitions[n], UnsameQ@@Differences[#]&]], {n, 0, 30}] CROSSREFS Cf. A007294, A007862, A049988, A098859, A240026, A240027, A320348, A320466, A320470, A325324, A325349, A325352, A325368, A325404, A325468. Sequence in context: A035632 A114701 A325260 * A240851 A261665 A208096 Adjacent sequences:  A325322 A325323 A325324 * A325326 A325327 A325328 KEYWORD nonn AUTHOR Gus Wiseman, Apr 23 2019 STATUS approved

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Last modified August 24 18:52 EDT 2019. Contains 326295 sequences. (Running on oeis4.)