%I #11 Sep 08 2022 08:45:11
%S 0,1,5,27,137,691,3465,17347,86777,433971,2170025,10850467,54253017,
%T 271266451,1356334985,6781680387,33908412857,169542086131,
%U 847710474345,4238552459107,21192762470297,105963812701011,529819064204105
%N Binomial transform of Jacobsthal oblongs.
%C Binomial transform of A084175.
%H Vincenzo Librandi, <a href="/A084177/b084177.txt">Table of n, a(n) for n = 0..500</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-3,-10).
%F a(n) = (2*5^n - (-1)^n - 2^n)/9.
%F G.f.: x*(1-x)/((1+x)*(1-2*x)*(1-5*x)).
%F a(n) = 6*a(n-1) - 3*a(n-2) - 10*a(n-3).
%F E.g.f.: (2*exp(5*x) - exp(2*x) - exp(-x))/9.
%o (Magma) [(2*5^n-(-1)^n-2^n)/9: n in [0..35]]; // _Vincenzo Librandi_, Jul 05 2011
%Y Cf. A001045.
%K easy,nonn
%O 0,3
%A _Paul Barry_, May 18 2003
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