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%I #14 Jun 29 2024 16:02:26
%S 0,0,1,4,7,9,2,8,9,9,4,0,8,2,8,4,0,2,3,6,6,8,6,3,9,0,5,3,2,5,4,4,3,7,
%T 8,6,9,8,2,2,4,8,5,2,0,7,1,0,0,5,9,1,7,1,5,9,7,6,3,3,1,3,6,0,9,4,6,7,
%U 4,5,5,6,2,1,3,0,1,7,7,5,1,4,7,9,2,8,9,9,4,0,8,2,8,4,0,2,3,6,6
%N Decimal expansion of 1/676.
%H <a href="/index/Rec#order_40">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1).
%F From _Chai Wah Wu_, Jan 03 2024: (Start)
%F a(n) = a(n-1) - a(n-39) + a(n-40) for n > 41.
%F G.f.: x^2*(-5*x^39 - 2*x^38 + 6*x^36 + x^35 - 3*x^34 + 2*x^33 - x^32 - 4*x^31 + x^30 + x^28 - 3*x^27 + x^26 + 2*x^25 - 5*x^24 + 9*x^23 - 6*x^22 + 3*x^21 + 2*x^20 - 2*x^19 - 3*x^17 - x^16 - 2*x^15 + 4*x^14 + 4*x^13 - 6*x^12 + 6*x^11 - 8*x^10 + 4*x^9 + 5*x^8 - x^6 - 6*x^5 + 7*x^4 - 2*x^3 - 3*x^2 - 3*x - 1)/(x^40 - x^39 + x - 1). (End)
%t First[RealDigits[1/676, 10, 100, -1]] (* _Paolo Xausa_, Jun 29 2024 *)
%K nonn,cons
%O 0,4
%A _N. J. A. Sloane_.