|
Search: id:A084839
|
|
|
| A084839 |
|
Smallest integers that satisfy sum(n>0, mu(a(n))*log(a(n))/a(n))=-1 by requiring that the absolute values of 1 + the successive partial sums are monotonically decreasing in magnitude, where a(1)=1 and a(n+1)>a(n) for n>0. |
|
+0
2
|
|
| 1, 2, 3, 5, 62, 66, 69, 73, 77, 83, 87, 89, 91, 97, 106, 110, 111, 113, 115, 127, 142, 149, 158, 163, 166, 167, 177, 190, 194, 197, 201, 211, 221, 223, 226, 229, 235, 246, 253, 255, 259, 266, 274, 281, 287, 293, 295, 307, 321, 331, 341, 345, 355, 366, 371, 373
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Since sum(n>0,mu(n)*log(n)/n)=-1, this sequence gives a subset of integers that satisfy this sum.
|
|
PROGRAM
|
(PARI) S=0; a=0; w=2; for(n=1, 200, b=a+1; while(abs(S+moebius(b)*log(b)/b+1)>=w, b++); S=S+moebius(b)*log(b)/b; w=abs(S+1); a=b; print1(b, ", "))
|
|
CROSSREFS
|
Cf. A084838.
Sequence in context: A136340 A029961 A083665 this_sequence A103110 A042239 A029975
Adjacent sequences: A084836 A084837 A084838 this_sequence A084840 A084841 A084842
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 06 2003
|
|
|
Search completed in 0.002 seconds
|
