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1, 9, 16, 49, 36, 144, 64, 225, 169, 324, 144, 784, 196, 576, 576, 961, 324, 1521, 400, 1764, 1024, 1296, 576, 3600, 961, 1764, 1600, 3136, 900, 5184, 1024, 3969, 2304, 2916, 2304, 8281, 1444, 3600, 3136, 8100, 1764, 9216, 1936, 7056, 6084, 5184, 2304, 15376, 3249
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| S. Ramanujan, Some formulae in the analytic theory of numbers, Mess. Math. 45 (1915), 81-84, eq. 15. (Reprinted in Collected Papers of Srinivasa Ramanujan, Chelsea Publ., New York 1962, 133-135)
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LINKS
| J. G. Wurtzel, Table of n, a(n) for n=1..10000
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FORMULA
| Dirichlet g.f.: zeta(s)*zeta(s-1)^2*zeta(s-2)/zeta(2*s-2), Re(s)>3. - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jul 21 2002
Multiplicative with a(p^e) = ((p^(e+1)-1)/(p-1))^2. a(n) = Sum_{d|n} n/d*sigma(d^2). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 30 2002
Equals the Dirichlet convolution of A065764 by A000027: a(n) = sigma(n^2) * n. - R. J. Mathar, Apr 02 2011
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CROSSREFS
| Cf. A065764.
Sequence in context: A067956 A203595 A187087 * A183371 A039785 A119575
Adjacent sequences: A072858 A072859 A072860 * A072862 A072863 A072864
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KEYWORD
| nonn,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jul 26 2002
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