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Search: id:A062116
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| 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13, 9, 1, 2, 4, 8, 16, 15, 13
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Terms of the simple continued fraction of 678982/[sqrt(10997122748477)-2846611]. [From Paolo P. Lava (ppl(AT)spl.at), Aug 06 2009]
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REFERENCES
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I. M. Vinogradov, Elements of Number Theory, pp. 220 ff.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,1000
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FORMULA
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Period 8.
a(n)=1/56*{73*(n mod 8)+45*[(n+1) mod 8]+31*[(n+2) mod 8]+24*[(n+3) mod 8]-39*[(n+4) mod 8]-11*[(n+5) mod 8]+3*[(n+6) mod 8]+10*[(n+7) mod 8]} with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Nov 24 2006
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EXAMPLE
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a(5) = 32 (mod 17) = 15.
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PROGRAM
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(PARI) { for (n=0, 1000, write("b062116.txt", n, " ", 2^n%17) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 01 2009]
(Other) sage: [power_mod(2, n, 17)for n in xrange(0, 87)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 03 2009]
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CROSSREFS
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Cf. A036117, A036118.
Sequence in context: A108565 A066005 A066600 this_sequence A008381 A083780 A101466
Adjacent sequences: A062113 A062114 A062115 this_sequence A062117 A062118 A062119
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KEYWORD
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easy,nonn,new
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com), Jun 06 2001
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