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A131133
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a(0)=1; for n > 0, a(n) = (1/n + 1/a(n-1))*lcm(n, a(n-1)).
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2
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1, 2, 2, 5, 9, 14, 10, 17, 25, 34, 22, 3, 5, 18, 16, 31, 47, 64, 41, 60, 4, 25, 47, 70, 47, 72, 49, 76, 26, 55, 17, 48, 5, 38, 36, 71, 107, 144, 91, 10, 5, 46, 44, 87, 131, 176, 111, 158, 103, 152, 101, 152, 51, 104, 79, 134, 95, 8, 33, 92, 38, 99, 161, 32, 3, 68, 67, 2, 35, 104
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OFFSET
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0,2
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COMMENTS
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Equivalently, a(0)=1; a(n) = (a(n-1)+n)/gcd(n,a(n-1)). - Ctibor O. Zizka, Feb 15 2008
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LINKS
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MAPLE
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a[0] := 1; for n to 70 do a[n] := (1/n+1/a[n-1])*lcm(n, a[n-1]) end do; seq(a[n], n = 0 .. 70) # Emeric Deutsch, Jun 21 2007
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MATHEMATICA
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nxt[{n_, a_}]:={n+1, (1/(n+1)+1/a)LCM[n+1, a]}; Transpose[NestList[nxt, {0, 1}, 70]][[2]] (* Harvey P. Dale, Mar 04 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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