|
%I #7 Sep 08 2022 08:45:46
%S 1,12,124,1208,11456,107232,997184,9242368,85517056,790574592,
%T 7305293824,67488831488,623410712576,5758241390592,53185308114944,
%U 491231692423168,4537090136866816,41905067449516032,387038978271084544
%N a(n) = 14*a(n-1) - 44*a(n-2) for n > 1; a(0) = 1, a(1) = 12.
%C Binomial transform of A163146. Inverse binomial transform of A163148.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-44).
%F a(n) = ((1+sqrt(5))*(7+sqrt(5))^n+(1-sqrt(5))*(7-sqrt(5))^n)/2.
%F G.f.: (1-2*x)/(1-14*x+44*x^2).
%o (Magma) [ n le 2 select 11*n-10 else 14*Self(n-1)-44*Self(n-2): n in [1..19] ];
%o (PARI) Vec((1-2*x)/(1-14*x+44*x^2) + O(x^30)) \\ _Jinyuan Wang_, Mar 23 2020
%Y Cf. A163146, A163148.
%K nonn
%O 0,2
%A _Klaus Brockhaus_, Jul 21 2009
| 