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Search: id:A121743
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| A121743 |
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Values of the Ramanujan tau triplets mod 691 such that three consecutive Ramanujan tau numbers are congruent mod 691. |
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+0
5
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OFFSET
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1,2
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COMMENT
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Corresponding indices of the Ramanujan tau triplets mod 691 are listed in A121742[n] = {290217,477155,1051085,1153412,1409635,1409636,...}. All a(n) belong to the Ramanujan tau twins mod 691 A121734[n]. There are also quadruplets in the Ramanujan tau mod 691 such that A046694[n] = A046694[n+1] = A046694[n+2] = A046694[n+3]. The first such Ramanujan tau Quadruplet mod 691 starts with A046694[1409635] = 0.
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LINKS
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Eric Weisstein Link to a section of The World of Mathematics. Ramanujan's Tau Function.
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FORMULA
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a(n) = A000594[A121742[n]] mod 691. a(n) = A046694[A121742[n]].
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MATHEMATICA
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Do[f=Mod[DivisorSigma[11, n], 691]; g=Mod[DivisorSigma[11, n+1], 691]; h=Mod[DivisorSigma[11, n+2], 691]; If[f==g&&g==h, Print[{n, f}]], {n, 1, 1500000}]
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CROSSREFS
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Cf. A121742, A121733, A121734, A046694, A000594.
Sequence in context: A130292 A133536 A075666 this_sequence A084802 A003903 A131884
Adjacent sequences: A121740 A121741 A121742 this_sequence A121744 A121745 A121746
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 19 2006
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