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A037582 Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,3. 2

%I #24 Feb 17 2024 10:30:34

%S 1,13,131,1313,13131,131313,1313131,13131313,131313131,1313131313,

%T 13131313131,131313131313,1313131313131,13131313131313,

%U 131313131313131,1313131313131313,13131313131313131,131313131313131313,1313131313131313131,13131313131313131313

%N Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,3.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,1,-10).

%F G.f.: x*(1+3*x) / ( (x-1)*(10*x-1)*(1+x) ). - _R. J. Mathar_, Aug 12 2013

%t Table[FromDigits[PadRight[{},n,{1,3}]],{n,20}] (* _Harvey P. Dale_, Feb 11 2015 *)

%o (PARI) Vec(x*(1+3*x)/((x-1)*(10*x-1)*(1+x)) + O(x^25)) \\ _Jinyuan Wang_, Apr 14 2020

%Y Cf. A156641 (even bisection).

%K nonn,base,easy

%O 1,2

%A _Clark Kimberling_

%E More terms from _Harvey P. Dale_, Feb 11 2015

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Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)