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 A324587 Heinz numbers of integer partitions of n into distinct perfect squares (A033461). 8
 1, 2, 7, 14, 23, 46, 53, 97, 106, 151, 161, 194, 227, 302, 311, 322, 371, 419, 454, 541, 622, 661, 679, 742, 827, 838, 1009, 1057, 1082, 1193, 1219, 1322, 1358, 1427, 1589, 1619, 1654, 1879, 2018, 2114, 2143, 2177, 2231, 2386, 2437, 2438, 2741, 2854, 2933 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k). Also products of distinct elements of A011757. LINKS EXAMPLE The sequence of terms together with their prime indices begins:     1: {}     2: {1}     7: {4}    14: {1,4}    23: {9}    46: {1,9}    53: {16}    97: {25}   106: {1,16}   151: {36}   161: {4,9}   194: {1,25}   227: {49}   302: {1,36}   311: {64}   322: {1,4,9}   371: {4,16}   419: {81}   454: {1,49}   541: {100} MATHEMATICA Select[Range[1000], And@@Cases[FactorInteger[#], {p_, k_}:>k==1&&IntegerQ[Sqrt[PrimePi[p]]]]&] CROSSREFS Cf. A001156, A005117, A011757, A033461, A052335, A056239, A062457, A078135, A112798, A117144, A276078. Cf. A109298, A324524, A324525, A324571, A324572, A324588. Sequence in context: A008865 A227582 A249852 * A018392 A051640 A119354 Adjacent sequences:  A324584 A324585 A324586 * A324588 A324589 A324590 KEYWORD nonn AUTHOR Gus Wiseman, Mar 08 2019 STATUS approved

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Last modified May 7 20:36 EDT 2021. Contains 343652 sequences. (Running on oeis4.)