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 A324751 Number of strict integer partitions of n containing no prime indices of the parts. 19
 1, 1, 1, 1, 2, 1, 3, 3, 2, 4, 5, 5, 6, 8, 8, 12, 10, 14, 13, 18, 19, 26, 25, 30, 34, 39, 40, 51, 55, 60, 71, 77, 90, 97, 111, 123, 136, 153, 170, 179, 216, 230, 264, 282, 322, 345, 385, 423, 470, 513, 573, 629, 686, 755, 834, 910, 1005, 1095, 1194, 1303, 1433 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 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(1) = 1 through a(13) = 8 strict integer partitions (A...D = 10...13):   1   2   3   4    5   6    7    8    9    A    B     C     D               31       42   43   71   54   64   65    75    76                        51   52        63   73   83    84    85                                       72   82   542   93    94                                            91   731   A2    B2                                                       B1    643                                                             751                                                             931 MATHEMATICA Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&Intersection[#, PrimePi/@First/@Join@@FactorInteger/@#]=={}&]], {n, 0, 30}] CROSSREFS The subset version is A324741, with maximal case A324743. The non-strict version is A324756. The Heinz number version is A324758. An infinite version is A304360. Cf. A000720, A001462, A007097, A074971, A078374, A112798, A276625, A290822, A305713, A306844, A324764. Cf. A324695, A324742, A324748. Sequence in context: A032434 A002347 A006642 * A210595 A094435 A133341 Adjacent sequences:  A324748 A324749 A324750 * A324752 A324753 A324754 KEYWORD nonn AUTHOR Gus Wiseman, Mar 16 2019 STATUS approved

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)