A034167 - OEIS

%I #15 Oct 30 2022 18:19:59

%S 1,8,29,43,64,71,113,127,197,211,232,239,281,337,344,379,421,449,463,

%T 491,512,547,568,617,631,659,673,701,743,757,827,841,883,904,911,953,

%U 967,1009,1016,1051,1093,1163,1247,1289,1303,1331,1373,1429,1471,1499,1576,1583,1597,1667

%N Product of primes == 1 (mod 7) and cubes of primes == 2 or 4 (mod 7).

%H P. A. B. Pleasants, M. Baake, J. Roth, <a href="http://dx.doi.org/10.1063/1.531424">Planar coincidences for N-fold symmetry</a> J. Math. Phys. 37 (1996) 1029-1058, see p. 1044.

%F Nonzero powers in the Dirichlet product Product_{p1,p2,p4} ( ((1+p1^(-s)) / (1-p1^(-s)))^3 * (1+p2^(-3*s)) * (1+p4^(-3*s)) / ((1-p2^(-3*s)) * (1-p4^(-3*s))) ) where p1, p2, p4 are primes congruent to 1, 2, and 4 (mod 7), respectively. - _Sean A. Irvine_, Aug 03 2020

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_

%E More terms from _Reiner Martin_, May 19 2001

%E Missing terms inserted by _Sean A. Irvine_, Aug 03 2020