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 A084819 Least integers that satisfy Sum_{n>=1} 1/a(n)^z = 0, where a(1)=1, a(n+1) > a(n) and z = i*Pi/(4*log(2)). 0
 1, 7, 18, 51, 147, 423, 1224, 3543, 10254 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Sequence satisfies Sum_{n>=1} 1/a(n)^z = 0 by requiring that the moduli of the successive partial sums are monotonically decreasing in magnitude for the given z. LINKS Table of n, a(n) for n=1..9. 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, A084813, A084814, A084815, A084816, A084817, A084818. Sequence in context: A324900 A343545 A324944 * A346494 A220031 A197092 Adjacent sequences: A084816 A084817 A084818 * A084820 A084821 A084822 KEYWORD nonn,more AUTHOR Paul D. Hanna, Jun 04 2003 STATUS approved

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Last modified July 17 11:42 EDT 2024. Contains 374377 sequences. (Running on oeis4.)