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A102094
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a(n) = (2*n-1)*(2*n+1)^2.
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0
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9, 75, 245, 567, 1089, 1859, 2925, 4335, 6137, 8379, 11109, 14375, 18225, 22707, 27869, 33759, 40425, 47915, 56277, 65559, 75809, 87075, 99405, 112847, 127449
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Sum_{n=1..infinity} 1/a(n) = (12 - Pi^2)/16 Sum_{n=1..infinity} n/a(n) = (4 - Pi^2)/32
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REFERENCES
| G. Boros and V. Moll, Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals, Cambridge University Press, Cambridge, 2004, p. 123.
J. Ewell, An Eulerian Method for Representing Pi^2 by Series, The Rocky Mountain Journal of Mathematics 1992 v.22, pp. 165-168.
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CROSSREFS
| Cf. A002388.
Sequence in context: A190984 A001716 A028991 * A125397 A095249 A190983
Adjacent sequences: A102091 A102092 A102093 * A102095 A102096 A102097
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KEYWORD
| easy,nonn
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AUTHOR
| Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Feb 13 2005
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