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

0,2

Links

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

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

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)

Prog

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

Crossrefs

Cf. A117616.

Sequence in context: A329452 A222238 A019611 * A101314 A347213 A054530

Adjacent sequences: A138284 A138285 A138286 * A138288 A138289 A138290

Keyword

nonn,easy

Author

Paul Curtz, May 06 2008

Status

approved