A171654 Period 10: repeat 0, 1, 6, 7, 2, 3, 8, 9, 4, 5.

0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5

Offset: 0

Author

Paul Curtz, Dec 14 2009

Keywords

• nonn
• easy

Comments

The repeating part contains all ten digits.

Links

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

Formula

a(n) = A171507(n+1) mod 10.

a(2n) = A059629(n) mod 10; a(2n+1) = A139788(n).

abs(a(n+1)-a(n)) = A010686(n).

G.f.: -x*(1 + 6*x + 7*x^2 + 2*x^3 + 3*x^4 + 8*x^5 + 9*x^6 + 4*x^7 + 5*x^8) / ( (x-1)*(1+x)*(x^4 + x^3 + x^2 + x + 1)*(x^4 - x^3 + x^2 - x + 1) ). - R. J. Mathar, Jul 13 2011

Extensions

More terms from Jinyuan Wang, Feb 26 2020