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A084800

Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(4+I*3)/5.

1, 16, 18, 21, 25, 28, 31, 34, 38, 41, 44, 48, 52, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 104, 108, 112, 116, 121, 125, 130, 134, 139, 143, 148, 152, 157, 162, 166, 171, 176, 180, 185, 190, 195, 200, 205, 209, 214, 219, 224, 229, 234, 239, 244, 249, 255, 260

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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..59.

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. A084589, A084799, A084801-A084810.

Sequence in context: A348143 A161874 A095953 * A065426 A308607 A097746

Adjacent sequences: A084797 A084798 A084799 * A084801 A084802 A084803

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 04 2003

STATUS

approved

URL: https://oeis.org/A084800

⇱ A084800 - OEIS