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 A325358 Number of integer partitions of n whose augmented differences are strictly decreasing. 9
 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 6, 7, 9, 10, 11, 13, 14, 15, 18, 20, 21, 24, 26, 28, 33, 36, 38, 43, 46, 49, 56, 60, 63, 71, 76, 80, 90, 96, 100, 112, 120, 125, 139, 149, 155, 171, 183, 190, 208, 223, 232, 252, 269, 280, 304, 325, 338, 364, 387, 403 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS The augmented differences aug(y) of an integer partition y of length k are given by aug(y)_i = y_i - y_{i + 1} + 1 if i < k and aug(y)_k = y_k. For example, aug(6,5,5,3,3,3) = (2,1,3,1,1,3). The Heinz numbers of these partitions are given by A325396. LINKS EXAMPLE The a(1) = 1 through a(11) = 6 partitions:   (1)  (2)  (3)   (4)   (5)   (6)   (7)    (8)    (9)    (10)   (11)             (21)  (31)  (41)  (42)  (52)   (62)   (63)   (73)   (83)                               (51)  (61)   (71)   (72)   (82)   (92)                                     (421)  (521)  (81)   (91)   (101)                                                   (621)  (631)  (731)                                                          (721)  (821) MATHEMATICA aug[y_]:=Table[If[i

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Last modified April 3 04:21 EDT 2020. Contains 333195 sequences. (Running on oeis4.)