A084802 Least positive integers, all distinct, that satisfy Sum_{n>0} 1/a(n)^z = 0, where z=(24+i*7)/25.

1, 276, 280, 285, 289, 294, 298, 303, 307, 312, 316, 321, 325, 330, 334, 339, 343, 348, 352, 357, 361, 366, 370, 375, 379, 384, 388, 393, 397, 402, 406, 411, 415, 420, 425, 429, 434, 438, 443, 447, 452, 456, 461, 466, 470, 475, 479, 484, 488, 493, 498, 502

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..52.

Prog

(PARI) z=(24+i*7)/25; 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, A084803-A084810.

Sequence in context: A075666 A387071 A121743 * A309998 A003903 A131884

Adjacent sequences: A084799 A084800 A084801 * A084803 A084804 A084805

Keyword

nonn

Author

Paul D. Hanna, Jun 04 2003

Status

approved