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 A316428 Heinz numbers of integer partitions such that every part is divisible by the number of parts. 4
 1, 2, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 29, 31, 37, 39, 41, 43, 47, 49, 53, 57, 59, 61, 67, 71, 73, 79, 83, 87, 89, 91, 97, 101, 103, 107, 109, 111, 113, 125, 127, 129, 131, 133, 137, 139, 149, 151, 157, 159, 163, 167, 169, 173, 179, 181, 183, 191, 193, 197 (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 EXAMPLE 93499 is the Heinz number of (12,8,8,4) and belongs to the sequence because each part is divisible by 4. Sequence of partitions such that every part is divisible by the number of parts begins (1), (2), (3), (4), (2,2), (5), (6), (7), (8), (4,2), (9). MATHEMATICA Select[Range[200], And@@Cases[If[#==1, {}, FactorInteger[#]], {p_, k_}:>Divisible[PrimePi[p], PrimeOmega[#]]]&] CROSSREFS Cf. A056239, A067538, A074761, A143773, A237984, A289509, A296150, A298423, A316413. Sequence in context: A328336 A305103 A065520 * A277702 A279516 A329559 Adjacent sequences:  A316425 A316426 A316427 * A316429 A316430 A316431 KEYWORD nonn AUTHOR Gus Wiseman, Jul 02 2018 STATUS approved

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Last modified February 25 08:48 EST 2020. Contains 332221 sequences. (Running on oeis4.)