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 A321142 Number of strict integer partitions of 2*n with no subset summing to n. 0
 0, 1, 2, 3, 5, 7, 11, 15, 23, 30, 43, 57, 79, 102, 138, 174, 232, 292, 375, 471, 602, 741, 935, 1148, 1425, 1733, 2137, 2571, 3156, 3789, 4557, 5470, 6582, 7796, 9317, 11027, 13058, 15400, 18159, 21249, 24971, 29170, 33986, 39596, 46073, 53219, 61711, 71330, 82171 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS EXAMPLE The a(1) = 1 through a(8) = 23 partitions:   (2)  (4)    (6)    (8)      (10)     (12)     (14)       (16)        (3,1)  (4,2)  (5,3)    (6,4)    (7,5)    (8,6)      (9,7)               (5,1)  (6,2)    (7,3)    (8,4)    (9,5)      (10,6)                      (7,1)    (8,2)    (9,3)    (10,4)     (11,5)                      (5,2,1)  (9,1)    (10,2)   (11,3)     (12,4)                               (6,3,1)  (11,1)   (12,2)     (13,3)                               (7,2,1)  (5,4,3)  (13,1)     (14,2)                                        (7,3,2)  (6,5,3)    (15,1)                                        (7,4,1)  (8,4,2)    (7,5,4)                                        (8,3,1)  (8,5,1)    (7,6,3)                                        (9,2,1)  (9,3,2)    (9,4,3)                                                 (9,4,1)    (9,5,2)                                                 (10,3,1)   (9,6,1)                                                 (11,2,1)   (10,4,2)                                                 (8,3,2,1)  (10,5,1)                                                            (11,3,2)                                                            (11,4,1)                                                            (12,3,1)                                                            (13,2,1)                                                            (6,5,4,1)                                                            (7,4,3,2)                                                            (9,4,2,1)                                                            (10,3,2,1) MATHEMATICA Table[Length[Select[IntegerPartitions[n], And[UnsameQ@@#, !Or@@Table[SameQ[Total[#[[s]]], n/2], {s, Subsets[Range[Length[#]]]}]]&]], {n, 2, 20, 2}] CROSSREFS Cf. A002219, A006827, A108917, A237258, A275972, A279791, A284640, A305551. Sequence in context: A236102 A241726 A308990 * A024792 A280661 A055771 Adjacent sequences:  A321139 A321140 A321141 * A321143 A321144 A321145 KEYWORD nonn AUTHOR Gus Wiseman, Oct 28 2018 EXTENSIONS a(33)-a(48) from Giovanni Resta, Oct 30 2018 STATUS approved

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Last modified May 28 21:37 EDT 2020. Contains 334690 sequences. (Running on oeis4.)