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Search: id:A054776
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| 0, 6, 120, 504, 1320, 2730, 4896, 7980, 12144, 17550, 24360, 32736, 42840, 54834, 68880, 85140, 103776, 124950, 148824, 175560, 205320, 238266, 274560, 314364, 357840, 405150, 456456, 511920, 571704, 635970, 704880, 778596, 857280, 941094
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Konrad Knopp, Theory and Application of Infinite Series, Dover, p. 268
L. B. W. Jolley, "Summation of Series", Dover Publications, 1961, p. 46
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LINKS
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Konrad Knopp, Theorie und Anwendung der unendlichen Reihen, Berlin, J. Springer, 1922. (Original german edition of "Theory and Application of Infinite Series")
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FORMULA
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a(n)=A007531(3n-2)
sum(n=1, inf, 1/a(n))=Pi*sqrt(3)/12-ln(3)/4 - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 05 2002
G.f.: 6x(1+16x+10x^2)/(1-x)^4.
1/6 + 1/120 + 1/504 +...= (1/4)*(Pi/sqrt(3) - ln 3) - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 21 2006
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PROGRAM
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(PARI) a(n)=3*n*(3*n-1)*(3*n-2)
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CROSSREFS
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Sequence in context: A001219 A076233 A066581 this_sequence A076231 A076234 A066289
Adjacent sequences: A054773 A054774 A054775 this_sequence A054777 A054778 A054779
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KEYWORD
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easy,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), May 19 2000
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