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A091084 a(n) = A001045(n) mod 10. 3
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; text; internal format)
OFFSET

0,4

COMMENTS

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

LINKS

Table of n, a(n) for n=0..104.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1).

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, Jul 16 2008

MATHEMATICA

CoefficientList[Series[x (1+x+3x^2+5x^3)/(1-x^4), {x, 0, 150}], x] (* Harvey P. Dale, Mar 26 2011 *)

CROSSREFS

Cf. A001045.

Sequence in context: A123701 A143303 A074903 * A016610 A356551 A305470

Adjacent sequences: A091081 A091082 A091083 * A091085 A091086 A091087

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Dec 18 2003

STATUS

approved

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Last modified February 2 06:48 EST 2023. Contains 360000 sequences. (Running on oeis4.)