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Search: id:A091084
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A091084 mod(A001045(n),10). +0
1
0, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5, 1, 1, 3, 5 (list; graph; listen)
OFFSET

0,4

COMMENT

A001045(0), followed by A001045(1), A001045(2), A001045(3), A001045(4) repeating.

FORMULA

G.f.: x(1+x+3x^2+5x^3)/(1-x^4); E.g.f.: 2cos(x)-sin(x)+exp(-x)/2+5exp(x)/2-5; a(n)=2cos(pi*n/2)-sin(pi*n/2)+(-1)^n/2+5/2-5*0^n.

a(n)=-(1/12)*{(n mod 4)+[(n+1) mod 4]-5*[(n+2) mod 4]-17*[(n+3) mod 4]}-5*[C(2*n,n) mod 2], with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jul 16 2008

CROSSREFS

Sequence in context: A030588 A123701 A074903 this_sequence A016610 A010261 A005699

Adjacent sequences: A091081 A091082 A091083 this_sequence A091085 A091086 A091087

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Dec 18 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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