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 A084807 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(1+I)/2. 2
 1, 28, 40, 54, 69, 87, 107, 128, 152, 177, 205, 235, 267, 300, 336, 374, 414, 455, 499, 545, 593, 643, 695, 749, 805, 863, 923, 985, 1048, 1115, 1183, 1253, 1325, 1399, 1475, 1553, 1633, 1715, 1799, 1886, 1974, 2064, 2156, 2250, 2347, 2445, 2545, 2648, 2752 (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..49. 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. A084799-A084806, A084808-A084810. Sequence in context: A109798 A216594 A324858 * A184032 A361855 A047630 Adjacent sequences: A084804 A084805 A084806 * A084808 A084809 A084810 KEYWORD nonn AUTHOR Paul D. Hanna, Jun 04 2003 STATUS approved

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Last modified November 29 08:15 EST 2023. Contains 367429 sequences. (Running on oeis4.)