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 A102627 Number of partitions of n into distinct parts in which the number of parts divides n. 27
 1, 1, 1, 2, 1, 4, 1, 4, 4, 5, 1, 15, 1, 7, 14, 17, 1, 28, 1, 40, 28, 11, 1, 99, 31, 13, 49, 99, 1, 186, 1, 152, 76, 17, 208, 425, 1, 19, 109, 699, 1, 584, 1, 433, 823, 23, 1, 1625, 437, 1140, 193, 746, 1, 2003, 1748, 2749, 244, 29, 1, 7404, 1, 31, 4158, 3258, 3766, 6307, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..1000 EXAMPLE From Gus Wiseman, Sep 24 2019: (Start) The a(1) = 1 through a(12) = 15 strict integer partitions whose average is an integer (A = 10, B = 11, C = 12):   (1)  (2)  (3)  (4)   (5)  (6)    (7)  (8)   (9)    (A)   (B)  (C)                  (31)       (42)        (53)  (432)  (64)       (75)                             (51)        (62)  (531)  (73)       (84)                             (321)       (71)  (621)  (82)       (93)                                                      (91)       (A2)                                                                 (B1)                                                                 (543)                                                                 (642)                                                                 (651)                                                                 (732)                                                                 (741)                                                                 (831)                                                                 (921)                                                                 (5421)                                                                 (6321) (End) MAPLE a:= proc(m) option remember; local b; b:=       proc(n, i, t) option remember; `if`(i*(i+1)/2

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Last modified October 15 05:43 EDT 2019. Contains 328026 sequences. (Running on oeis4.)