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 A307534 Heinz numbers of strict integer partitions with 3 parts, all of which are odd. 9
 110, 170, 230, 310, 374, 410, 470, 506, 590, 670, 682, 730, 782, 830, 902, 935, 970, 1030, 1034, 1054, 1090, 1265, 1270, 1298, 1370, 1394, 1426, 1474, 1490, 1570, 1598, 1606, 1670, 1705, 1790, 1826, 1886, 1910, 1955, 1970, 2006, 2110, 2134, 2162, 2255, 2266 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The enumeration of these partitions by sum is given by A001399. The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k). LINKS EXAMPLE The sequence of terms together with their prime indices begins:    110: {1,3,5}    170: {1,3,7}    230: {1,3,9}    310: {1,3,11}    374: {1,5,7}    410: {1,3,13}    470: {1,3,15}    506: {1,5,9}    590: {1,3,17}    670: {1,3,19}    682: {1,5,11}    730: {1,3,21}    782: {1,7,9}    830: {1,3,23}    902: {1,5,13}    935: {3,5,7}    970: {1,3,25}   1030: {1,3,27}   1034: {1,5,15}   1054: {1,7,11} MATHEMATICA Select[Range[1000], SquareFreeQ[#]&&PrimeNu[#]==3&&OddQ[Times@@PrimePi/@First/@FactorInteger[#]]&] CROSSREFS Cf. A001221, A001222, A001399, A005117, A007304, A014612, A037144, A051037, A056239, A080193, A080257, A112798, A143207, A304636. Sequence in context: A039447 A095611 A335272 * A200070 A324210 A146081 Adjacent sequences:  A307531 A307532 A307533 * A307535 A307536 A307537 KEYWORD nonn AUTHOR Gus Wiseman, Apr 13 2019 STATUS approved

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Last modified April 20 06:59 EDT 2021. Contains 343125 sequences. (Running on oeis4.)