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A084805 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(1+I)/sqrt(2). 2
1, 11, 14, 17, 20, 24, 27, 31, 35, 39, 44, 48, 52, 57, 62, 67, 72, 77, 82, 87, 93, 98, 104, 109, 115, 121, 127, 133, 139, 145, 151, 158, 164, 170, 177, 184, 190, 197, 204, 211, 218, 225, 232, 239, 246, 254, 261, 268, 276, 283, 291, 299, 306, 314, 322, 330, 338 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Sequence satisfies sum(n>0,1/a(n)^z)=0 by requiring that the modulus of the successive partial sums are monotonically decreasing in magnitude for the given z.
LINKS
PROG
(PARI) S=0; w=1; a=0; for(n=1, 100, b=a+1; while(abs(S+exp(-z*log(b)))>w, b++); S=S+exp(-z*log(b)); w=abs(S); a=b; print1(b, ", "))
CROSSREFS
Sequence in context: A025058 A025060 A093669 * A159020 A015830 A242098
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 04 2003
STATUS
approved

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Last modified March 4 11:14 EST 2024. Contains 370528 sequences. (Running on oeis4.)