|
|
A084802
|
|
Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(24+i*7)/25.
|
|
2
|
|
|
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
(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
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|