|
|
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
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,changed
|
|
AUTHOR
|
|
|
EXTENSIONS
|
More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 03 2000
|
|
STATUS
|
approved
|
|
|
|