A084807 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(1+I)/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

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