This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A129305 Encodes multisets of least prime signatures in reverse-lex order: replace A036035 with A080688 then calculate all possible factorizations of the resulting values, recode each factor using A064553(n) and then multiply the terms. 2
 1, 2, 4, 5, 6, 11, 8, 10, 17, 12, 15, 22, 31, 42, 69, 77, 86, 109, 16, 20, 25, 34, 47, 24, 30, 44, 55, 51, 62, 83, 36, 45, 66, 76, 95, 121, 93, 118, 149, 84, 105, 138, 154, 172, 215, 253, 201, 217, 218, 277, 546, 834, 861, 897, 994, 1001, 1118, 1529, 1633, 1763, 1041 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sequence A035310 counts the values in each sub-table and illustrates relationships with A000041, A000079, A000110 etc. Sequence A096443 counts the values associated with each least prime signature. (Cf. A025487 and A036035.) LINKS EXAMPLE The encoded values can be arranged in tabular form based on the number of factors and the associated numeric partitions as indicated below: 2.................................................. .....4.....5........................................ .....6.....11........................................ ...............8.....10.....17......................... ...............12....15.....31......................... .....................22.............................. ...............42....69.....109......................... .....................77.............................. .....................86.............................. .................................16.....20.....25.....34.....47 .................................24.....30.....55.....51.....83 ........................................44............62..... .................................36.....45.....95.....93.....149 ........................................66.....121...118..... ........................................76............... .................................84.....105.....215.....201.....277 ........................................138.....253.....217..... ........................................154.............218..... ........................................172............... ................................546.....834.....1529.....1041.....1289 ........................................861.....1633.....1138..... ........................................897.....1763.....1253..... ........................................994..............1417..... ........................................1001............... ........................................1118............... CROSSREFS Cf. A025487, A035310, A036035, A064553, A080688, A096443. Sequence in context: A294812 A217354 A165701 * A278507 A113631 A202101 Adjacent sequences:  A129302 A129303 A129304 * A129306 A129307 A129308 KEYWORD nonn AUTHOR Alford Arnold, May 02 2007 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 September 21 23:55 EDT 2019. Contains 327286 sequences. (Running on oeis4.)