A328995 Dirichlet g.f. = Product_{primes p == 1 mod 3} (1+p^(-s))/(1-p^(-s)).

1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 4, 2, 2, 2, 0, 0, 2, 4, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 4, 2, 2, 0, 2, 4, 0, 4, 0, 2, 2, 2, 0, 0, 4, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 4, 2, 0, 2, 4, 2, 2, 0, 0, 2, 2, 4, 0, 4, 2, 0, 2, 0

Offset: 0

Author

N. J. A. Sloane, Nov 14 2019

Keywords

• nonn

References

• Baake, Michael, and Peter AB Pleasants. "Algebraic solution of the coincidence problem in two and three dimensions." Zeitschrift für Naturforschung A 50.8 (1995): 711-717. See p. 713.
• Baake, M. and P. A. B. Pleasants. "The coincidence problem for crystals and quasicrystals." Aperiodic, vol. 94, pp. 25-29. 1995.

Links

• Baake, Michael, and Peter AB Pleasants, Algebraic solution of the coincidence problem in two and three dimensions, Zeitschrift für Naturforschung A 50.8 (1995): 711-717. [Annotated scan of page 713 only].

Crossrefs

Cf. A031358.

Programs

PARI

t1=direuler(p=2,2400,(1+(p%3<2)*X))
t2=direuler(p=2,2400,1/(1-(p%3<2)*X))
t3=dirmul(t1,t2)
t4=vector(200,n,t3[6*n+1]) \\ (and then prepend 1)