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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; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..55. 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. Ron Lifshitz, Theory of color symmetry for periodic and quasiperiodic crystals, Rev. Mod. Phys. 69, 1181 (1997). See row N = 10 of Table VII. 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: A314180 A314181 A314182 * A022136 A042385 A041046 Adjacent sequences: A035105 A035106 A035107 * A035109 A035110 A035111 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified June 10 17:56 EDT 2023. Contains 363206 sequences. (Running on oeis4.)