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 A324750 Number of strict integer partitions of n not containing 1 or any part whose prime indices all belong to the partition. 8
 1, 0, 1, 1, 1, 1, 2, 3, 2, 4, 4, 4, 6, 8, 8, 11, 10, 15, 16, 19, 23, 27, 28, 35, 39, 47, 50, 63, 68, 77, 91, 102, 114, 130, 147, 169, 187, 213, 237, 268, 300, 336, 380, 422, 472, 525, 587, 647, 731, 810, 895, 996, 1102, 1227, 1355, 1498, 1661, 1818, 2020, 2221 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798. LINKS EXAMPLE The a(2) = 1 through a(17) = 15 strict integer partitions (A...H = 10...17):   2  3  4  5  6   7   8   9   A   B    C    D    E    F    G    H               42  43  62  54  64  65   75   76   86   87   97   98                   52      63  73  83   84   85   95   96   A6   A7                           72  82  542  93   94   A4   A5   C4   B6                                        A2   A3   B3   B4   D3   C5                                        642  B2   C2   C3   E2   D4                                             643  752  D2   763  E3                                             652  842  654  862  F2                                                       762  943  854                                                       843  A42  863                                                       852       872                                                                 A43                                                                 A52                                                                 B42                                                                 6542 MATHEMATICA Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&!MemberQ[#, 1]&&!MemberQ[#, k_/; SubsetQ[#, PrimePi/@First/@FactorInteger[k]]]&]], {n, 0, 30}] CROSSREFS The subset version is A324739. The non-strict version is A324755. The Heinz number version is A324760. An infinite version is A324694. Cf. A000720, A001462, A007097, A074971, A078374, A112798, A276625, A290822, A304360, A305713, A306844. Cf. A324696, A324737, A324742, A324744, A324764. Sequence in context: A035662 A249870 A325404 * A320348 A145394 A179806 Adjacent sequences:  A324747 A324748 A324749 * A324751 A324752 A324753 KEYWORD nonn AUTHOR Gus Wiseman, Mar 15 2019 STATUS approved

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Last modified December 6 16:24 EST 2019. Contains 329808 sequences. (Running on oeis4.)