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A143702
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a(n) = minimal values of A007947(m(2^n-m))
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7
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6, 14, 30, 30, 42, 30, 78, 182, 1110, 570, 1830, 6666, 2310, 2534, 5538, 9870, 20010, 141270, 14070, 480090, 155490, 334110, 1794858, 2463270, 2132130, 2349390
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Product of distinct prime divisors of (2^n)*a(n)*(2^n-a(n)) is called also radical: rad((2^n)*a(n)*(2^n-a(n))
For numbers a(n) see A143700
For numbers 2^n-a(n) see A143701
For minimal values of rad((2^n)*a(n)*(2^n-a(n)) see A143702 [Wrong A-number? - N. J. A. Sloane (njas(AT)research.att.com), Nov 13 2008]
For minimal values of rad(a(n)*(2^n-a(n)) see A143703
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MATHEMATICA
| a = {{1, 1}}; aa = {1}; bb = {1}; rr = {}; Do[logmax = 0; k = 2^x; w = Floor[(k - 1)/2]; Do[m = FactorInteger[n (k - n)]; rad = 1; Do[rad = rad m[[s]][[1]], {s, 1, Length[m]}]; log = Log[k]/Log[rad]; If[log > logmax, bmin = k - n; amax = n; logmax = log; r = rad], {n, 1, w, 2}]; Print[{x, amax}]; AppendTo[aa, amax]; AppendTo[bb, bmin]; AppendTo[rr, r]; AppendTo[a, {x, logmax}], {x, 2, 15}]; rr (*Artur Jasinski with assistance of Maximilian Hasler*)
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CROSSREFS
| Cf. A007947, A085152, A085153, A147298-A147307, A147638-A147643.
Sequence in context: A139596 A192035 A183023 * A134067 A024932 A199705
Adjacent sequences: A143699 A143700 A143701 * A143703 A143704 A143705
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Nov 10 2008
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