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

%I #25 Dec 12 2023 07:43:54

%S 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,

%T 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,

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

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

%C The repeating part contains all ten digits.

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,1).

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

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

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

%F 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

%K nonn,easy

%O 0,3

%A _Paul Curtz_, Dec 14 2009

%E More terms from _Jinyuan Wang_, Feb 26 2020

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Last modified April 19 03:46 EDT 2024. Contains 371782 sequences. (Running on oeis4.)