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A000176 Generalized tangent numbers d_(n,2).
(Formerly M2001 N0791)
6
2, 11, 46, 128, 272, 522, 904, 1408, 2160, 3154, 4306, 5888, 7888, 10012, 12888, 16384, 19680, 24354, 29866, 34816, 41888, 49778, 56744, 66816, 78000, 87358, 100602, 115712, 128112, 145804, 165712, 180224, 203040, 228964, 246932, 276480 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Consider the Dirichlet series L_a(s) = sum_{k>=0)} (-a|2k+1) / (2k+1)^s, where (-a|2k+1) is the Jacobi symbol. Then the numbers d_(a,n) are defined by L_a(2n)= (Pi/(2a))^(2n)*sqrt(a)* d_(a,n)/ (2n-1)! for a>1 and n=1,2,3...
REFERENCES
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
D. Shanks, Generalized Euler and class numbers. Math. Comp. 21 (1967) 689-694.
D. Shanks, Corrigenda to: "Generalized Euler and class numbers", Math. Comp. 21 (1967), 689-694; 22 (1968), 699.
CROSSREFS
Cf. A000061 for d_(n,1), A000488 for d_(n,3), A000518 for d_(n,4).
Sequence in context: A037751 A037639 A319428 * A042927 A292533 A140305
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 03 2000
STATUS
approved

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Last modified February 26 10:27 EST 2024. Contains 370346 sequences. (Running on oeis4.)