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A035108 Denominators in expansion of a certain Dirichlet series. 0
1, 5, 11, 16, 25, 31, 41, 55, 61, 71, 80, 81, 101, 121, 125, 131, 151, 155, 176, 181, 191, 205, 211, 241, 251, 256, 271, 275, 281, 305, 311, 331, 341, 355, 361, 400, 401, 405, 421, 431, 451, 461, 491, 496, 505, 521, 541, 571, 601, 605, 625, 631, 641, 655, 656 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

M. Baake and R. V. Moody, Similarity submodules and semigroups in Quasicrystals and Discrete Geometry, ed. J. Patera, Fields Institute Monographs, vol. 10 AMS, Providence, RI (1998) pp. 1-13.

FORMULA

(1-5^(-s))^(-1) * Product_{p == 1 mod 5} (1-p^(-s))^(-4) * Product_{p == 4 mod 5} (1-p^(-2s))^(-2) * Product_{p == +- 2 mod 5} (1-p^(-4s))^(-1).

PROG

(PARI) {an=vector(64); v=direuler(p=2, 800, 1/[1-X, (1-X)^4, 1-X^4, 1-X^4, (1-X^2)^2][p%5+1]); c=0; for(n=1, length(v), if(v[n], c++; an[c]=n)); print(an)}

CROSSREFS

Sequence in context: A183989 A172327 A190323 * A022136 A042385 A041046

Adjacent sequences:  A035105 A035106 A035107 * A035109 A035110 A035111

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 16 05:55 EST 2012. Contains 205860 sequences.