A091084 a(n) = A001045(n) mod 10.

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

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.: 2*cos(x) - sin(x) + exp(-x)/2 + 5*exp(x)/2 - 5; a(n) = 2*cos(Pi*n/2) - sin(Pi*n/2) + (-1)^n/2 + 5/2 - 5*0^n.

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