The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A325233 Heinz numbers of integer partitions with Dyson rank 1. 15
 3, 10, 15, 25, 28, 42, 63, 70, 88, 98, 105, 132, 147, 175, 198, 208, 220, 245, 297, 308, 312, 330, 343, 462, 468, 484, 495, 520, 544, 550, 693, 702, 726, 728, 770, 780, 816, 825, 1053, 1078, 1089, 1092, 1144, 1155, 1170, 1210, 1216, 1224, 1300, 1352, 1360 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers whose maximum prime index is one greater than their number of prime indices counted with multiplicity. The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k). LINKS FindStat, St000145: The Dyson rank of a partition EXAMPLE The sequence of terms together with their prime indices begins:      3: {2}     10: {1,3}     15: {2,3}     25: {3,3}     28: {1,1,4}     42: {1,2,4}     63: {2,2,4}     70: {1,3,4}     88: {1,1,1,5}     98: {1,4,4}    105: {2,3,4}    132: {1,1,2,5}    147: {2,4,4}    175: {3,3,4}    198: {1,2,2,5}    208: {1,1,1,1,6}    220: {1,1,3,5}    245: {3,4,4}    297: {2,2,2,5}    308: {1,1,4,5} MATHEMATICA Select[Range[1000], PrimePi[FactorInteger[#][[-1, 1]]]-PrimeOmega[#]==1&] CROSSREFS Positions of 1's in A257541. Cf. A001222, A047993, A056239, A061395, A063995, A101198, A106529, A112798, A257990, A263297, A325225, A325234, A325235. Sequence in context: A247420 A063231 A224852 * A030005 A192163 A129307 Adjacent sequences:  A325230 A325231 A325232 * A325234 A325235 A325236 KEYWORD nonn AUTHOR Gus Wiseman, Apr 13 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 5 04:03 EDT 2021. Contains 346457 sequences. (Running on oeis4.)