A035198 From a Dirichlet series.

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, 569, 577, 593, 601, 617, 625, 641, 657, 673, 697, 729, 761, 769, 801, 809, 841, 857, 873, 881, 929, 937

Offset

0,2

Comments

Contribution from R. J. Mathar, 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

Table of n, a(n) for n=0..53.

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

Crossrefs

Sequence in context: A226323 A211432 A211422 * A271186 A253705 A056233

Adjacent sequences: A035195 A035196 A035197 * A035199 A035200 A035201

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from R. J. Mathar, Jul 16 2010

More terms from Sean A. Irvine, Sep 29 2020

Status

approved