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%I #14 Sep 08 2022 08:45:10
%S 1,5,41,269,1937,13397,94265,658397,4613153,32278949,225992009,
%T 1581825965,11073136049,77510889461,542579414873,3798046338173,
%U 26586353065025,186104385361733,1302730955812457,9119115915846221
%N a(n) = (4*7^n + (-3)^n)/5.
%C Binomial transform of A083299.
%H Vincenzo Librandi, <a href="/A083300/b083300.txt">Table of n, a(n) for n = 0..300</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,21)
%F a(n) = (4*7^n + (-3)^n)/5.
%F G.f.: (1+x)/((1-7*x)*(1+3*x)).
%F E.g.f.: (4*exp(7*x) + exp(-3*x))/5.
%o (Magma) [(4*7^n+(-3)^n)/5: n in [0..25]]; // _Vincenzo Librandi_, Jun 01 2011
%o (PARI) a(n)=(4*7^n+(-3)^n)/5 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y Cf. A083301.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Apr 24 2003
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