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Search: id:A011558
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| A011558 |
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Expansion of (x+x^3)/(1+x+...+x^4) mod 2. |
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+0
3
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| 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Multiplicative with a(5^e) = 0, a(p^e) = 1 otherwise. David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.
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REFERENCES
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R. Gold, Characteristic linear sequences and their coset functions, J. SIAM Applied. Math., 14 (1966), 980-985.
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LINKS
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Michael Gilleland, Some Self-Similar Integer Sequences
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FORMULA
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O.g.f.: x*sum(x^k,k=0..3)/(1-x^5). [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 05 2009]
a(n)=(1/8)*{3*(n mod 4)+[(n+1) mod 4]+[(n+2) mod 4]-[(n+3) mod 4]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Feb 11 2009]
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PROGRAM
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(Mupad) numlib::jacobi(n^2, 5)$ n=0..99 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 13 2008
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CROSSREFS
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Cf. A000035, A011655, A109720 coprimality with 2, 3, 7, respectively. [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 05 2009]
Adjacent sequences: A011555 A011556 A011557 this_sequence A011559 A011560 A011561
Sequence in context: A069513 A092248 A106743 this_sequence A100047 A080891 A112713
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KEYWORD
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nonn,mult
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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