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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(40+I*9)/41.
2

%I #4 Mar 30 2012 18:36:38

%S 1,1285,1290,1296,1301,1306,1312,1317,1323,1328,1334,1339,1344,1350,

%T 1355,1361,1366,1372,1377,1382,1388,1393,1399,1404,1410,1415,1421,

%U 1426,1431,1437,1442,1448,1453,1459,1464,1469,1475,1480,1486,1491,1497,1502

%N Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(40+I*9)/41.

%C 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.

%o (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,","))

%Y Cf. A084589, A084799-A084802, A084804-A084810.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Jun 04 2003