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 A325324 Number of integer partitions of n whose differences (with the last part taken to be 0) are distinct. 17
 1, 1, 2, 1, 3, 4, 4, 7, 7, 7, 10, 15, 13, 22, 25, 26, 31, 43, 39, 55, 54, 68, 75, 98, 97, 128, 135, 165, 177, 217, 223, 277, 282, 339, 356, 438, 444, 527, 553, 667, 694, 816, 868, 1015, 1054, 1279, 1304, 1538, 1631, 1849, 1958, 2304, 2360, 2701, 2899, 3267 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The differences of a sequence are defined as if the sequence were increasing, so for example the differences of (6,3,1) (with the last part taken to be 0) are (-3,-2,-1). The Heinz numbers of these partitions are given by A325367. LINKS EXAMPLE The a(1) = 1 through a(11) = 15 partitions (A = 10, B = 11):   (1)  (2)   (3)  (4)   (5)    (6)    (7)    (8)    (9)    (A)    (B)        (11)       (22)  (32)   (33)   (43)   (44)   (54)   (55)   (65)                   (31)  (41)   (51)   (52)   (53)   (72)   (64)   (74)                         (311)  (411)  (61)   (62)   (81)   (73)   (83)                                       (322)  (71)   (441)  (82)   (92)                                       (331)  (332)  (522)  (91)   (A1)                                       (511)  (611)  (711)  (433)  (443)                                                            (622)  (533)                                                            (631)  (551)                                                            (811)  (632)                                                                   (641)                                                                   (722)                                                                   (731)                                                                   (911)                                                                   (6311) For example, (6,3,1,1) has differences (-3,-2,0,-1), which are distinct, so (6,3,1,1) is counted under a(11). MATHEMATICA Table[Length[Select[IntegerPartitions[n], UnsameQ@@Differences[Append[#, 0]]&]], {n, 0, 30}] CROSSREFS Cf. A007862, A049988, A098859, A130091, A240026, A320348, A320466, A320509, A325325, A325349, A325366, A325367, A325368, A325404, A325407. Sequence in context: A248393 A033779 A033799 * A241745 A210040 A285329 Adjacent sequences:  A325321 A325322 A325323 * A325325 A325326 A325327 KEYWORD nonn AUTHOR Gus Wiseman, Apr 23 2019 STATUS approved

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Last modified January 21 05:23 EST 2020. Contains 331104 sequences. (Running on oeis4.)