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A021992 Decimal expansion of 1/988. 0

%I #12 Mar 07 2021 20:36:04

%S 0,0,1,0,1,2,1,4,5,7,4,8,9,8,7,8,5,4,2,5,1,0,1,2,1,4,5,7,4,8,9,8,7,8,

%T 5,4,2,5,1,0,1,2,1,4,5,7,4,8,9,8,7,8,5,4,2,5,1,0,1,2,1,4,5,7,4,8,9,8,

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

%N Decimal expansion of 1/988.

%C Generalization:

%C 1/88 = sum (12^i/100^(i+1)), i >= 0,

%C 1/988 = sum (12^i/1000^(i+1)), i >= 0, (this sequence)

%C 1/9988 = sum (12^i/10000^(i+1)), i >= 0, ... - _Daniel Forgues_, Oct 28 2011

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

%F From _Chai Wah Wu_, Mar 07 2021: (Start)

%F a(n) = a(n-1) - a(n-9) + a(n-10) for n > 11.

%F G.f.: x^2*(-5*x^9 + 3*x^8 - 2*x^7 - x^6 - 3*x^5 + x^4 - x^3 - x^2 + x - 1)/(x^10 - x^9 + x - 1). (End)

%K nonn,cons

%O 0,6

%A _N. J. A. Sloane_.

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