cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A163146 a(n) = 12*a(n-1)-31*a(n-2) for n > 1; a(0) = 1, a(1) = 11.

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%I A163146 #5 Sep 08 2022 08:45:46
%S A163146 1,11,101,871,7321,60851,503261,4152751,34231921,282047771,2323383701,
%T A163146 19137123511,157620587401,1298196219971,10692116430221,88061314343551,
%U A163146 725280162785761,5973461208779051,49197849458990021,405196896035729671
%N A163146 a(n) = 12*a(n-1)-31*a(n-2) for n > 1; a(0) = 1, a(1) = 11.
%C A163146 Binomial transform of A093145 without initial 0. Inverse binomial transform of A163147.
%H A163146 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-31).
%F A163146 a(n) = ((1+sqrt(5))*(6+sqrt(5))^n+(1-sqrt(5))*(6-sqrt(5))^n)/2.
%F A163146 G.f.: (1-x)/(1-12*x+31*x^2).
%t A163146 LinearRecurrence[{12,-31},{1,11},20] (* _Harvey P. Dale_, Apr 15 2019 *)
%o A163146 (Magma) [ n le 2 select 10*n-9 else 12*Self(n-1)-31*Self(n-2): n in [1..20] ];
%Y A163146 Cf. A093145, A163147.
%K A163146 nonn
%O A163146 0,2
%A A163146 _Klaus Brockhaus_, Jul 21 2009