A138287 Palindromic period 10: repeat 0, 2, 8, 4, 6, 6, 4, 8, 2, 0.

0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 2, 8, 4, 6

Offset: 0

Author

Paul Curtz, May 06 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A117616.

Programs

PARI

a(n)=[0, 2, 8, 4, 6, 6, 4, 8, 2, 0][n%10+1] \\ Charles R Greathouse IV, Jul 13 2016

Formula

From Chai Wah Wu, Jun 04 2016: (Start)

a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6) + a(n-7) - a(n-8) + a(n-9) for n > 8.

G.f.: 2*x*(1 + 3*x - x^2 + 4*x^3 - x^4 + 3*x^5 + x^6)/((1 - x)*(1 - x + x^2 - x^3 + x^4)*(1 + x + x^ 2 + x^3 + x^4)). (End)