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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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2
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1, 2, 3, 4, 5, 6, 7, 5, 5, 10, 11, 12, 13, 14, 15, 10, 17, 10, 19, 20, 21, 22, 23, 15, 13, 26, 15, 28, 29, 30, 31, 17, 33, 34, 35, 20, 37, 38, 39, 25, 41, 42, 43, 44, 25, 46, 47, 30, 25, 26, 51, 52, 53, 30, 55, 35, 57, 58, 59, 60, 61, 62, 35, 34, 65, 66, 67, 68, 69, 70, 71, 37, 73, 74, 39, 76, 77, 78
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| Cf. A038387, A038388.
Sequence in context: A083501 A007922 A007948 * A058223 A063265 A073794
Adjacent sequences: A038386 A038387 A038388 * A038390 A038391 A038392
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KEYWORD
| nonn,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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