This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A036055 Number of cycles of the permutation created by length sorting on the partitions of n. 1
 1, 2, 3, 4, 5, 6, 6, 5, 8, 7, 7, 8, 9, 9, 11, 10, 11, 11, 11, 11, 17, 14, 11, 13, 16, 11, 18, 17, 17, 13, 12, 19, 17, 17, 20, 13, 21, 14, 15, 15, 15, 13, 12, 13, 12, 24, 19, 27, 15, 19 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS PROG (PARI) OrderCycs(v)={my(t=vector(#v), L=List()); for(i=1, #v, my(c=0, j=i); while(!t[j], t[j]=1; j=v[j]; c++); if(c, listput(L, c))); Vec(L)} a(n)={my(u=vecsort([Vecsmall(Vecrev(p)) | p<-partitions(n)])); my(v=vecsort(u, (x, y)->lex(#x, #y), 1+4)); #OrderCycs(v)} \\ Andrew Howroyd, Sep 17 2019 CROSSREFS Cf. A036045-A036056. Sequence in context: A272081 A317582 A293705 * A034151 A101272 A006160 Adjacent sequences:  A036052 A036053 A036054 * A036056 A036057 A036058 KEYWORD nonn,more AUTHOR EXTENSIONS a(31)-a(50) from Andrew Howroyd, Sep 17 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 December 16 04:22 EST 2019. Contains 330013 sequences. (Running on oeis4.)