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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; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| A001045(0), followed by A001045(1), A001045(2), A001045(3), A001045(4) repeating.
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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 (paoloplava(AT)gmail.com), Jul 16 2008
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MATHEMATICA
| CoefficientList[Series[x (1+x+3x^2+5x^3)/(1-x^4), {x, 0, 150}], x] (* From Harvey P. Dale, Mar 26 2011 *)
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CROSSREFS
| Sequence in context: A123701 A074903 A143303 * A016610 A141707 A190180
Adjacent sequences: A091081 A091082 A091083 * A091085 A091086 A091087
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Dec 18 2003
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