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A035198 From a Dirichlet series. 0
1, 9, 17, 25, 41, 73, 81, 89, 97, 113, 121, 137, 153, 169, 193, 225, 233, 241, 257, 281, 289, 313, 337, 353, 361, 369, 401, 409, 425, 433, 449, 457, 521 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Contribution from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2010: (Start)

The Dirichlet function is (z_1(s))^2*z_3(2*s)*z_5(2*s) = 1+ 2/9^s+4/17^s+2/25^s+4/41^s+..,

where z_1(s) = prod_{p in A007519} Zeta(s,p) = 1+2/17^s+2/41^s+2/73^s+ ...(see A004625),

z_3(s) = prod_{p in A007520} Zeta(s,p) = 1+2/3^s+2/9^s+2/11^s+2/19^s+2/27^s+4/33^s+..,

z_5(s) = prod_{p in A007521} Zeta(s,p) = 1+2/5^s+2/13^s+...+4/65^s+2/101^s+..., Zeta(s,p)=(1+p^(-s))/(1-p^(-s)). (End)

LINKS

P. A. B. Pleasants, M. Baake, J. Roth, Planar coincidences for N-fold symmetry J. Math. Phys. 37 (1996) 1029.

CROSSREFS

Sequence in context: A143850 A017077 A004768 * A056233 A126623 A109333

Adjacent sequences:  A035195 A035196 A035197 * A035199 A035200 A035201

KEYWORD

nonn,easy,more

AUTHOR

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

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2010

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.