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Search: id:A035108
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| A035108 |
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Denominators in expansion of a certain Dirichlet series. |
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+0
1
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| 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; listen)
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OFFSET
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1,2
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LINKS
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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.
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FORMULA
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(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).
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PROGRAM
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(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)}
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CROSSREFS
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Sequence in context: A137007 A137012 A072557 this_sequence A022136 A042385 A041046
Adjacent sequences: A035105 A035106 A035107 this_sequence A035109 A035110 A035111
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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