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Search: id:A002172
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| A002172 |
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Glaisher's chi numbers chi(p) for p a prime of the form 4m+1.
(Formerly M1556 N0607)
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+0
3
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| -2, 6, 2, -10, -2, 10, 14, -10, -6, 10, 18, -2, 6, -14, -22, 14, 22, -26, -18, -14, -2, 30, 26, -30, 2, -26, -18, 10, -34, 26, 22, 18, -10, 34, 14, -34, 38, 2, -6, 30, 34, -14, 42, 38, -10, -22, -42, 38, 26, 2, -46, 10, -34, -38, 50, -26, -50, -46, -2, -10, 30, 54, -18, -38, 50, -34, 22, 10, -50, 54, 46, 58, -58, 50
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
J. W. L. Glaisher, On the function chi(n), Quarterly Journal of Pure and Applied Mathematics, 20 (1884), 97-167.
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LINKS
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Index entries for sequences related to Glaisher's numbers
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PROGRAM
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(PARI) {a(n)= local(m, c); if(n<1, 0, c=0; m=0; while(c<n, m++; if(isprime(m)& m%4==1, c++)); -sum(x=0, m-1, kronecker(x^3-x, m)))} /* Michael Somos Sep 19 2006 */
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CROSSREFS
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Cf. A002171.
Sequence in context: A033641 A153190 A010240 this_sequence A126289 A154382 A136762
Adjacent sequences: A002169 A002170 A002171 this_sequence A002173 A002174 A002175
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KEYWORD
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nice,sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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