A084838 Smallest integers that satisfy sum(n>0, mu( a(n) )/a(n))=0 by requiring that the absolute value of the successive partial sums are monotonically decreasing in magnitude, where a(1)=1 and a(n+1)>a(n) for n>0.

1, 2, 3, 5, 21, 37, 46, 59, 65, 70, 74, 78, 82, 83, 85, 89, 93, 97, 106, 114, 115, 127, 141, 149, 158, 163, 177, 190, 194, 197, 201, 211, 221, 223, 226, 229, 235, 246, 253, 257, 259, 263, 274, 282, 287, 293, 295, 307, 321, 331, 341, 345, 355, 366, 371, 373, 377

Offset

1,2

Comments

Since sum(n>0,mu(n)/n)=0, this sequence gives the subset of smallest integers that satisfy this sum.

Links

Table of n, a(n) for n=1..57.

Prog

(PARI) S=0; a=0; w=2; for(n=1, 100, b=a+1; while(abs(S+moebius(b)/b)>=w, b++); S=S+moebius(b)/b; w=abs(S); a=b; print1(b, ", "))

Crossrefs

Cf. A084839.

Sequence in context: A024766 A058959 A065398 * A051694 A113650 A259376

Adjacent sequences: A084835 A084836 A084837 * A084839 A084840 A084841

Keyword

nonn

Author

Paul D. Hanna, Jun 06 2003

Status

approved