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 A325259 Numbers with one fewer distinct prime exponents than distinct prime factors. 5
 6, 10, 14, 15, 21, 22, 26, 33, 34, 35, 36, 38, 39, 46, 51, 55, 57, 58, 60, 62, 65, 69, 74, 77, 82, 84, 85, 86, 87, 90, 91, 93, 94, 95, 100, 106, 111, 115, 118, 119, 120, 122, 123, 126, 129, 132, 133, 134, 140, 141, 142, 143, 145, 146, 150, 155, 156, 158, 159 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k), so these are Heinz numbers of integer partitions with one fewer distinct multiplicities than distinct parts. The enumeration of these partitions by sum is given by A325244. LINKS FORMULA A001221(a(n)) = A071625(a(n)) + 1. EXAMPLE The sequence of terms together with their prime indices begins:     6: {1,2}    10: {1,3}    14: {1,4}    15: {2,3}    21: {2,4}    22: {1,5}    26: {1,6}    33: {2,5}    34: {1,7}    35: {3,4}    36: {1,1,2,2}    38: {1,8}    39: {2,6}    46: {1,9}    51: {2,7}    55: {3,5}    57: {2,8}    58: {1,10}    60: {1,1,2,3}    62: {1,11} MATHEMATICA Select[Range[100], PrimeNu[#]==Length[Union[Last/@FactorInteger[#]]]+1&] CROSSREFS Cf. A056239, A060687, A090858, A112798, A116608, A118914, A130091, A323023, A325241, A325242, A325244, A325270, A325281. Sequence in context: A120944 A052053 A276818 * A320911 A238748 A268390 Adjacent sequences:  A325254 A325256 A325258 * A325260 A325261 A325262 KEYWORD nonn AUTHOR Gus Wiseman, Apr 18 2019 STATUS approved

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Last modified July 22 10:34 EDT 2019. Contains 325219 sequences. (Running on oeis4.)