cp's OEIS Frontend

A196792 a(n) = A047848(10, n).

%I A196792 #32 Jan 17 2025 09:04:00
%S A196792 1,2,15,184,2381,30942,402235,5229044,67977561,883708282,11488207655,
%T A196792 149346699504,1941507093541,25239592216022,328114698808275,
%U A196792 4265491084507564,55451384098598321,720867993281778162,9371283912663116095,121826690864620509224,1583746981240066619901
%N A196792 a(n) = A047848(10, n).
%H A196792 Vincenzo Librandi, <a href="/A196792/b196792.txt">Table of n, a(n) for n = 0..900</a>
%H A196792 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-13).
%F A196792 a(n) = (13^n + 11)/12.
%F A196792 a(n) = 13*a(n-1) - 11, with a(0) = 1.
%F A196792 G.f.: (1-12*x)/((1-x)*(1-13*x)). - _Bruno Berselli_, Oct 11 2011
%F A196792 From _Elmo R. Oliveira_, Aug 30 2024: (Start)
%F A196792 E.g.f.: exp(x)*(exp(12*x) + 11)/12.
%F A196792 a(n) = 14*a(n-1) - 13*a(n-2) for n > 1. (End)
%t A196792 (13^Range[0,40] +11)/12 (* _G. C. Greubel_, Jan 17 2025 *)
%o A196792 (Magma) [(13^n+11)/12: n in [0..20]];
%o A196792 (Python)
%o A196792 def A196792(n): return (pow(13, n) + 11)//12
%o A196792 print([A196792(n) for n in range(41)]) # _G. C. Greubel_, Jan 17 2025
%Y A196792 Cf. A047848, A047849, A047850, A047851, A047852, A047853, A047854, A047855, A047856.
%Y A196792 Cf. A001022 (first differences).
%K A196792 nonn,easy
%O A196792 0,2
%A A196792 _Vincenzo Librandi_, Oct 11 2011