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A073889
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a(1) = 1, a(2) = 3; for n>2, a(n) = {a(n-1)*a(n+1)}^(1/n) or a(n+1) = a(n)^n/a(n-1).
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3
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..6.
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MAPLE
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A073889:= proc(n) option remember;
if n<3 then 2*n-1;
else a(n-1)^(n-1)/a(n-2);
fi; end;
seq(A073889(n), n = 1..7); # G. C. Greubel, May 18 2020
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MATHEMATICA
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a[n_]:= a[n]= If[n<3, 2*n-1, a[n-1]^(n-1)/a[n-2]]; Table[a[n], {n, 7}] (* G. C. Greubel, May 18 2020 *)
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PROG
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(Magma) I:=[1, 3]; [n le 2 select I[n] else Self(n-1)^(n-1)/Self(n-2): n in [1..7]]; # G. C. Greubel, May 18 2020
(Sage)
def a(n):
if (n<3): return 2*n-1
else: return a(n-1)^(n-1)/a(n-2)
[a(n) for n in (1..7)] # G. C. Greubel, May 18 2020
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CROSSREFS
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Cf. A058798, A073888.
Sequence in context: A279834 A091409 A027891 * A332586 A211898 A318970
Adjacent sequences: A073886 A073887 A073888 * A073890 A073891 A073892
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy, Aug 17 2002
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EXTENSIONS
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The next term is too large to include.
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STATUS
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approved
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