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

Author

Paul Barry, Dec 18 2003

Keywords

• easy
• nonn

Comments

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

Decimal expansion of 227/19998. - Elmo R. Oliveira, May 11 2024

Links

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

Crossrefs

Cf. A001045.

Programs

Mathematica

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

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.

a(n) = a(n-4) for n > 4. - Elmo R. Oliveira, May 11 2024