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A035328 n(2n-1)(2n+1). +0
2
0, 3, 30, 105, 252, 495, 858, 1365, 2040, 2907, 3990, 5313, 6900, 8775, 10962, 13485, 16368, 19635, 23310, 27417, 31980, 37023, 42570, 48645, 55272, 62475, 70278, 78705, 87780, 97527, 107970, 119133, 131040, 143715, 157182, 171465, 186588 (list; graph; listen)
OFFSET

0,2

COMMENT

Bisection of A027480. For n>1, gives area of triangle two of whose cevians bound three smaller triangles with areas n-1, n, n+1 contiguously. - Lekraj Beedassy (blekraj(AT)yahoo.com), Dec 21 2006

REFERENCES

Neville, Jacobian Elliptic Functions, 2nd ed., p. 38.

Konrad Knopp, Theory and Application of Infinite Series, Dover, p. 269

LINKS

Konrad Knopp, Theorie und Anwendung der unendlichen Reihen, Berlin, J. Springer, 1922. (Original german edition of "Theory and Application of Infinite Series")

FORMULA

sum(n=1, inf, 1/a(n))=2ln(2)-1 - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 05 2002

CROSSREFS

Equals 3 * A000447.

Sequence in context: A012009 A001800 A152767 this_sequence A100259 A031205 A020874

Adjacent sequences: A035325 A035326 A035327 this_sequence A035329 A035330 A035331

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 05 2002

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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