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A000191 Generalized tangent numbers d(3,n).
(Formerly M2166 N0864)
+0
4
2, 46, 3362, 515086, 135274562, 54276473326, 30884386347362, 23657073914466766, 23471059057478981762, 29279357851856595135406, 44855282210826271011257762, 82787899853638102222862479246 (list; graph; listen)
OFFSET

1,1

REFERENCES

D. Shanks, Generalized Euler and class numbers, Math. Comp. 21 (1967), 689-694; 22 (1968), 699.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

a(n) = 2*A002439(n). - njas, Nov 06 2009

MATHEMATICA

L[ a_, s_, t_:10000 ] := Plus@@Table[ N[ JacobiSymbol[ -a, 2k+1 ](2k+1)^(-s), 30 ], {k, 0, t} ]; d[ a_, n_, t_:10000 ] := (2n-1)!/Sqrt[ a ](2a/Pi)^(2n)L[ -a, 2n, t ]

CROSSREFS

Cf. A000192, A002439, A002437, A156172.

Sequence in context: A012001 A012006 A074041 this_sequence A000192 A124690 A141579

Adjacent sequences: A000188 A000189 A000190 this_sequence A000192 A000193 A000194

KEYWORD

nonn,easy,new

AUTHOR

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

EXTENSIONS

More terms and Mathematica program from Eric Weisstein (eric(AT)weisstein.com), Aug 30, 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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