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 A316430 Heinz numbers of integer partitions whose length is equal to the GCD of all the parts. 10
 1, 2, 9, 21, 39, 57, 87, 91, 111, 125, 129, 159, 183, 203, 213, 237, 247, 267, 301, 303, 321, 325, 339, 377, 393, 417, 427, 453, 489, 519, 543, 551, 553, 559, 575, 579, 597, 669, 687, 689, 707, 717, 753, 789, 791, 813, 817, 843, 845, 879, 923, 925, 933, 951, 973 (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). LINKS Table of n, a(n) for n=1..55. EXAMPLE Sequence of integer partitions whose length is equal to their GCD begins: (), (1), (2,2), (4,2), (6,2), (8,2), (10,2), (6,4), (12,2), (3,3,3), (14,2), (16,2), (18,2), (10,4), (20,2), (22,2), (8,6), (24,2), (14,4), (26,2), (28,2), (6,3,3). MATHEMATICA Select[Range[200], PrimeOmega[#]==GCD@@Cases[FactorInteger[#], {p_, k_}:>PrimePi[p]]&] CROSSREFS Cf. A056239, A067538, A074761, A143773, A289508, A289509, A296150, A316413, A316431, A316432, A316433. Sequence in context: A298912 A368187 A005476 * A131476 A023549 A192971 Adjacent sequences: A316427 A316428 A316429 * A316431 A316432 A316433 KEYWORD nonn AUTHOR Gus Wiseman, Jul 02 2018 STATUS approved

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Last modified April 17 05:47 EDT 2024. Contains 371756 sequences. (Running on oeis4.)