A084803 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(40+I*9)/41.

1, 1285, 1290, 1296, 1301, 1306, 1312, 1317, 1323, 1328, 1334, 1339, 1344, 1350, 1355, 1361, 1366, 1372, 1377, 1382, 1388, 1393, 1399, 1404, 1410, 1415, 1421, 1426, 1431, 1437, 1442, 1448, 1453, 1459, 1464, 1469, 1475, 1480, 1486, 1491, 1497, 1502

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..42.

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-A084802, A084804-A084810.

Sequence in context: A269826 A270055 A252116 * A104399 A353347 A232253

Adjacent sequences: A084800 A084801 A084802 * A084804 A084805 A084806

Keyword

nonn

Author

Paul D. Hanna, Jun 04 2003

Status

approved