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%I #19 Feb 12 2024 06:36:33
%S 1,39,1122,28558,680163,15536757,344857924,7495831836,160347899205,
%T 3387224876995,70828953712806,1468712060491434,30241806008351527,
%U 618983574479950353,12604083861223212168,255502116339219984952
%N a(1)=1, a(n) = n*19^(n-1) + a(n-1).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (39,-399,361).
%F G.f.: x/((1 - x)*(1 - 19*x)^2). - _Stefano Spezia_, Mar 11 2020
%t RecurrenceTable[{a[1]==1,a[n]==n*19^(n-1)+a[n-1]},a,{n,20}] (* _Harvey P. Dale_, Oct 01 2012 *)
%o (PARI) a(n) = (1+19^n*(18*n-1))/324; \\ _Jinyuan Wang_, Mar 11 2020
%K nonn,easy
%O 1,2
%A _Olivier Gérard_