A021602 - OEIS

%I #14 Apr 18 2024 15:35:57

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

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

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

%N Decimal expansion of 1/598.

%H <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1).

%F From _Chai Wah Wu_, Apr 18 2024: (Start)

%F a(n) = a(n-1) - a(n-33) + a(n-34) for n > 34.

%F G.f.: x^2*(-5*x^32 + 5*x^31 - 5*x^30 + 4*x^29 - 4*x^28 + x^27 - x^26 + 2*x^25 - 3*x^24 + 6*x^23 - 9*x^22 + 8*x^21 - 6*x^20 + 2*x^19 + 4*x^18 - 6*x^17 + 3*x^16 + 3*x^15 - 3*x^14 + 2*x^12 - x^11 - 4*x^10 - 2*x^9 + 8*x^8 - 8*x^7 + 4*x^6 - 2*x^5 + 5*x^3 - x^2 - 5*x - 1)/(x^34 - x^33 + x - 1). (End)

%F Equals A021303/2. - _Hugo Pfoertner_, Apr 18 2024

%e 0.00167224080267558528428093645484949832...

%Y Cf. A021303.

%K nonn,cons,easy

%O 0,4

%A _N. J. A. Sloane_