A138287 - OEIS

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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

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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