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 A325500 Heinz number of the set of Heinz numbers of integer partitions of n. Heinz numbers of rows of A215366. 7
 2, 3, 35, 2717, 22235779, 3163570326979, 51747966790650260753033, 188828800892079861898153036258130093, 2034903808706825942766196978067005215014684343665351270467, 75367279796373180679613801327275978589820813788234346991420766634058571423774287454563 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The Heinz number of a set of positive integers {y_1,...,y_k} is prime(y_1)*...*prime(y_k). All terms are squarefree and pairwise relatively prime. LINKS FORMULA A001221(a(n)) = A001222(a(n)) = A000041(n). A056239(a(n)) = A145519(n). A003963(a(n)) = A325501(n). A181819(A003963(a(n))) = A325507(n). EXAMPLE The integer partitions of 3 are {(3), (2,1), (1,1,1)}, with Heinz numbers {5,6,8}, with Heinz number prime(5)*prime(6)*prime(8) = 2717, so a(3) = 2717. The sequence of terms together with their prime indices begins:                         2: {1}                         3: {2}                        35: {3,4}                      2717: {5,6,8}                  22235779: {7,9,10,12,16}             3163570326979: {11,14,15,18,20,24,32}   51747966790650260753033: {13,21,22,25,27,28,30,36,40,48,64} MATHEMATICA Table[Times@@Prime/@(Times@@Prime/@#&/@IntegerPartitions[n]), {n, 0, 5}] CROSSREFS A subsequence of A005117. Cf. A001222, A002110, A003963, A006128, A007870, A056239, A066186, A066633, A112798, A145519, A215366, A325501, A325505, A325507. Sequence in context: A111459 A042663 A072291 * A084191 A080357 A064032 Adjacent sequences:  A325497 A325498 A325499 * A325501 A325502 A325503 KEYWORD nonn AUTHOR Gus Wiseman, May 05 2019 STATUS approved

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Last modified July 17 02:52 EDT 2019. Contains 325092 sequences. (Running on oeis4.)