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%I A081682 #19 Sep 13 2024 16:28:12
%S A081682 1,4,16,79,634,7099,83746,947419,10193794,105291979,1054581826,
%T A081682 10323156859,99334276354,943521561259,8873286384706,82805541911899,
%U A081682 768050761613314,7089438235180939,65182761011000386,597402284308532539,5460838499719484674,49808520814283367019,453476009939755916866
%N A081682 a(n) = (9^n - 8^n - 7^n - 6^n + 4*5^n)/2.
%C A081682 Binomial transform of A081681.
%H A081682 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (35,-485,3325,-11274,15120).
%F A081682 G.f.: -(3603*x^4-1866*x^3+361*x^2-31*x+1)/((5*x-1)*(6*x-1)*(7*x-1)*(8*x-1)*(9*x-1)). - _Colin Barker_, Sep 07 2012
%F A081682 From _Elmo R. Oliveira_, Sep 13 2024: (Start)
%F A081682 E.g.f.: exp(5*x)*(exp(4*x) - exp(3*x) - exp(2*x) - exp(x) + 4)/2.
%F A081682 a(n) = 35*a(n-1) - 485*a(n-2) + 3325*a(n-3) - 11274*a(n-4) + 15120*a(n-5) for n > 4. (End)
%Y A081682 Cf. A081681, A081683.
%K A081682 easy,nonn
%O A081682 0,2
%A A081682 _Paul Barry_, Mar 30 2003
%E A081682 a(20)-a(22) from _Elmo R. Oliveira_, Sep 13 2024

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