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Reversed decimal expansions of A178510.
2

%I #26 Mar 16 2024 11:19:09

%S 1,121,14521,1742521,209102521,25092302521,3011076302521,

%T 361329156302521,43359498756302521,5203139850756302521,

%U 624376782090756302521,74925213850890756302521,8991025662106890756302521,1078923079452826890756302521,129470769534339226890756302521

%N Reversed decimal expansions of A178510.

%C Related to backward decimal expansion of fraction 1/119 and Pell numbers. [How? - _Joerg Arndt_, May 14 2011]

%H Vincenzo Librandi, <a href="/A178512/b178512.txt">Table of n, a(n) for n = 1..150</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (121,-120).

%F a(n) = 120*a(n-1) + 1.

%F From _Colin Barker_, Oct 02 2015: (Start)

%F a(n) = 121*a(n-1) - 120*a(n-2) for n > 2.

%F G.f.: x / ((x-1)*(120*x-1)).

%F (End)

%t NestList[120#+1&,1,20] (* _Harvey P. Dale_, May 21 2023 *)

%o (Magma) [(1/119)*(120^n-1): n in [1..20]]; // _Vincenzo Librandi_, May 17 2011

%o (PARI) Vec(x/((x-1)*(120*x-1)) + O(x^20)) \\ _Colin Barker_, Oct 02 2015

%Y Cf. A000129, A021083, A038207, A178510, A178511.

%K nonn,base,easy

%O 1,2

%A _Mark Dols_, May 29 2010