|
|
A084816
|
|
Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I*2.
|
|
3
|
|
|
1, 3, 6, 13, 39, 131, 448, 1547, 5352, 18524, 64125, 221990, 768506, 2660499, 9210416, 31885663, 110385418, 382144818, 1322952481
(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
|
|
|
FORMULA
|
Limit a(n+1)/a(n) --> 3.4619139...
|
|
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
|
|
|
|