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Search: id:A038389
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| A038389 |
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Let f(n) be the smallest number such that the arithmetic mean (A) and geometric mean (G) of n and f(n) are both integers; sequence gives A values. |
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+0
3
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| 1, 2, 3, 4, 5, 6, 7, 5, 5, 10, 11, 12, 13, 14, 15, 10, 17
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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It is the average of A038387 with n, both of which are multiplicative. Christian G. Bower (bowerc(AT)usa.net) May 16, 2005.
Multiplicative with a(p^e) = a(p^(2k+1)) = (p + p^(2k+1))/2, a(2^(2*k)) = 2 + 2^(2k-1), a(p^(2*k)) = (1 + p^(2k))/2,. Christian G. Bower (bowerc(AT)usa.net) May 16, 2005.
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CROSSREFS
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Cf. A038387, A038388.
Sequence in context: A083501 A007922 A007948 this_sequence A058223 A063265 A073794
Adjacent sequences: A038386 A038387 A038388 this_sequence A038390 A038391 A038392
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KEYWORD
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nonn,mult
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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