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

0,2

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

Table of n, a(n) for n=0..84.

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].

Prog

(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)

Crossrefs

Cf. A031358.

Sequence in context: A335185 A319243 A307521 * A036476 A104994 A118664

Adjacent sequences: A328992 A328993 A328994 * A328996 A328997 A328998

Keyword

nonn

Author

N. J. A. Sloane, Nov 14 2019

Status

approved