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 A325877 Number of strict integer partitions of n such that every orderless pair of distinct parts has a different sum. 17
 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 12, 14, 18, 19, 26, 28, 36, 37, 50, 52, 67, 68, 89, 94, 115, 121, 151, 160, 195, 200, 247, 265, 312, 329, 386, 418, 487, 519, 600, 640, 742, 792, 901, 978, 1088, 1185, 1331, 1453, 1605, 1729, 1925, 2101, 2311, 2524, 2741, 3000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS The non-strict case is A325857. LINKS EXAMPLE The a(1) = 1 through a(10) = 9 partitions (A = 10):   (1)  (2)  (3)   (4)   (5)   (6)    (7)    (8)    (9)    (A)             (21)  (31)  (32)  (42)   (43)   (53)   (54)   (64)                         (41)  (51)   (52)   (62)   (63)   (73)                               (321)  (61)   (71)   (72)   (82)                                      (421)  (431)  (81)   (91)                                             (521)  (432)  (532)                                                    (531)  (541)                                                    (621)  (631)                                                           (721) MATHEMATICA Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&UnsameQ@@Plus@@@Subsets[Union[#], {2}]&]], {n, 0, 30}] CROSSREFS The subset case is A196723. The maximal case is A325878. The integer partition case is A325857. The strict integer partition case is A325877. Heinz numbers of the counterexamples are given by A325991. Cf. A002033, A108917, A143823, A275972. Cf. A325854, A325855, A325858, A325862, A325864, A325876, A325879. Sequence in context: A069911 A185225 A027196 * A100928 A240671 A034140 Adjacent sequences:  A325874 A325875 A325876 * A325878 A325879 A325880 KEYWORD nonn AUTHOR Gus Wiseman, Jun 02 2019 STATUS approved

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Last modified April 5 20:45 EDT 2020. Contains 333260 sequences. (Running on oeis4.)