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A060851
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(2n-1) * (3^(2n-1)).
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2
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3, 81, 1215, 15309, 177147, 1948617, 20726199, 215233605, 2195382771, 22082967873, 219667417263, 2165293113021, 21182215236075, 205891132094649, 1990280943581607, 19147875284802357, 183448998696332259, 1751104078464989745, 16660504517966902431
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 28-40.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,200
Xavier Gourdon and Pascal Sebah, Riemann's zeta function
Pablo A. Panzone, Formulas for the Euler-Mascheroni constant (PDF)
Simon Plouffe, Other interesting computations
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EXAMPLE
| ln(2) = sum( 2 / a(n)) for n = 1..infinity
C0 = sum( 2 / a(n) - zeta(2n+1) / [ ( 2^(2n)) * (2n+1) ] )
C0 = sum( [ (4n+2) / a(n) - zeta(2n+1) / (2^(2n)) ] / (2n+1))
7/4= sum( [ (4n+2) / a(n) - zeta(2n+1) / (2^(2n)) ] )
7/8= sum( [ (2n+1) / a(n) - zeta(2n+1) / (2^(2n+1)) ] )
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PROG
| (PARI) { for (n=1, 200, write("b060851.txt", n, " ", (2*n - 1)*(3^(2*n - 1))); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 13 2009]
(MAGMA) [ (2*n-1) * (3^(2*n-1)): n in [1..100]]; // Vincenzo Librandi, Apr 20 2011
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CROSSREFS
| For ln(2) see A002162, for Euler's constant C0 see A001620.
Sequence in context: A116009 A068562 A123656 * A116179 A013732 A207007
Adjacent sequences: A060848 A060849 A060850 * A060852 A060853 A060854
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KEYWORD
| nonn,easy
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AUTHOR
| Frank Ellermann (Frank.Ellermann(AT)t-online.de), May 03 2001
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001
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