|
Search: id:A011558
|
|
|
| A011558 |
|
Expansion of (x+x^3)/(1+x+...+x^4) mod 2. |
|
+0
15
|
|
| 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)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Multiplicative with a(5^e) = 0, a(p^e) = 1 otherwise. David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.
Contribution from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 30 2009: (Start)
a(n)=1-A079998(n); characteristic function of numbers coprime to 5; a(A047201(n))=1; a(A008587(n))=0;
A033437(n) = SUM(a(k)*(n-k): 0<=k<=n). (End)
|
|
REFERENCES
|
R. Gold, Characteristic linear sequences and their coset functions, J. SIAM Applied. Math., 14 (1966), 980-985.
|
|
LINKS
|
Michael Gilleland, Some Self-Similar Integer Sequences
Index entries for characteristic functions [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 30 2009]
|
|
FORMULA
|
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]
|
|
PROGRAM
|
(Mupad) numlib::jacobi(n^2, 5)$ n=0..99 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 13 2008
|
|
CROSSREFS
|
Cf. A000035, A011655, A109720 coprimality with 2, 3, 7, respectively. [From Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 05 2009]
Sequence in context: A069513 A092248 A106743 this_sequence A100047 A080891 A112713
Adjacent sequences: A011555 A011556 A011557 this_sequence A011559 A011560 A011561
Cf. A168185, A145568, A168184, A168182, A168181, A097325, A166486. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 30 2009]
|
|
KEYWORD
|
nonn,mult,new
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.003 seconds
|
