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%I #16 Jan 03 2024 08:44:46
%S 1,6,42,300,2148,15384,110184,789168,5652240,40482912,289949856,
%T 2076701376,14873911872,106531086720,763005222528,5464855259904,
%U 39140810744064,280337354393088,2007853970680320,14380807639084032
%N a(n)=8*a(n-1)-6*a(n-2), a(0)=1, a(1)=6 .
%H Vincenzo Librandi, <a href="/A147838/b147838.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8, -6).
%F a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*5^k . G.f.: (1-2x)/(1-8x+6*x^2).
%F a(n)= ((5+sqrt(10))/10)*(4+sqrt(10))^n + ((5-sqrt(10))/10)*(4-sqrt(10))^n [From _Richard Choulet_, Nov 20 2008]
%t LinearRecurrence[{8,-6},{1,6},40] (* _Harvey P. Dale_, Mar 01 2012 *)
%K nonn
%O 0,2
%A _Philippe Deléham_, Nov 14 2008
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