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Search: id:A084803
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| A084803 |
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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. |
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+0
3
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| 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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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.
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PROGRAM
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(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, ", "))
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CROSSREFS
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Cf. A084589, A084799-A084802, A084804-A084810.
Sequence in context: A038652 A031798 A090006 this_sequence A104399 A140914 A020401
Adjacent sequences: A084800 A084801 A084802 this_sequence A084804 A084805 A084806
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003
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