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A000192 Generalized Euler numbers c(6,n).
(Formerly M2167 N0865)
+0
2
2, 46, 7970, 3487246, 2849229890, 3741386059246, 7205584123783010, 19133892392367261646, 67000387673723462963330, 299131045427247559446422446, 1658470810032820740402966226850 (list; graph; listen)
OFFSET

0,1

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.

MATHEMATICA

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

CROSSREFS

Cf. A000191.

Sequence in context: A012006 A074041 A000191 this_sequence A124690 A141579 A107205

Adjacent sequences: A000189 A000190 A000191 this_sequence A000193 A000194 A000195

KEYWORD

nonn,easy

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 December 2 11:54 EST 2009. Contains 167921 sequences.


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