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 A084817 Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I/log(2). 3
 1, 5, 11, 29, 80, 222, 624, 1756, 4949, 13953 (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 Table of n, a(n) for n=1..10. 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 Cf. A084812-A084816, A084818. Sequence in context: A106060 A237642 A059508 * A183382 A100965 A001632 Adjacent sequences: A084814 A084815 A084816 * A084818 A084819 A084820 KEYWORD more,nonn AUTHOR Paul D. Hanna, Jun 04 2003 STATUS approved

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Last modified June 22 10:49 EDT 2024. Contains 373570 sequences. (Running on oeis4.)