The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A319179 Number of integer partitions of n that are relatively prime but not aperiodic. Number of integer partitions of n that are aperiodic but not relatively prime. 2
 0, 1, 1, 1, 1, 2, 1, 3, 2, 6, 1, 9, 1, 14, 7, 17, 1, 32, 1, 36, 15, 55, 1, 77, 6, 100, 27, 121, 1, 200, 1, 209, 56, 296, 19, 403, 1, 489, 101, 596, 1, 885, 1, 947, 192, 1254, 1, 1673, 14, 1979, 297, 2336, 1, 3300, 60, 3594, 490, 4564, 1, 5988, 1, 6841, 800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS An integer partition is aperiodic if its multiplicities are relatively prime. LINKS Table of n, a(n) for n=1..63. EXAMPLE The a(12) = 9 integer partitions that are relatively prime but not aperiodic: (5511), (332211), (333111), (441111), (22221111), (33111111), (222111111), (2211111111), (111111111111). The a(12) = 9 integer partitions that are aperiodic but not relatively prime: (12), (8,4), (9,3), (10,2), (6,3,3), (6,4,2), (8,2,2), (6,2,2,2), (4,2,2,2,2). MATHEMATICA Table[Length[Select[IntegerPartitions[n], And[GCD@@#==1, GCD@@Length/@Split[#]>1]&]], {n, 30}] CROSSREFS Cf. A000837, A018783, A047966, A100953, A305563, A319149, A319160, A319162, A319164. Sequence in context: A226651 A073711 A071690 * A114653 A069481 A098911 Adjacent sequences: A319176 A319177 A319178 * A319180 A319181 A319182 KEYWORD nonn AUTHOR Gus Wiseman, Sep 12 2018 STATUS approved

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

Last modified June 10 10:56 EDT 2023. Contains 363199 sequences. (Running on oeis4.)