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A286902 a(1)=1, a(2)=2, a(3)=3, a(4)=4, a(5)=5, a(n)=5*a(n-5)+4*a(n-4)+3*a(n-3)+2*a(n-2)+a(n-1).

%I A286902 #10 May 16 2017 08:53:54
%S A286902 1,2,3,4,5,35,79,195,498,1290,3362,8611,22172,57130,147205,379235,
%T A286902 976778,2516243,6481974,16697759,43013723,110804025,285433859,
%U A286902 735283984,1894107464,4879261724,12569084165,32378235236,83407038514,214858345697,553479773713
%N A286902 a(1)=1, a(2)=2, a(3)=3, a(4)=4, a(5)=5, a(n)=5*a(n-5)+4*a(n-4)+3*a(n-3)+2*a(n-2)+a(n-1).
%H A286902 Seiichi Manyama, <a href="/A286902/b286902.txt">Table of n, a(n) for n = 1..2435</a>
%H A286902 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1, 2, 3, 4, 5).
%F A286902 G.f.: x*(15*x^4+6*x^3+x^2-x-1)/(5*x^5+4*x^4+3*x^3+2*x^2+x-1).
%t A286902 With[{c=Range[5]},LinearRecurrence[c,c,40]]
%Y A286902 Cf. A285794, A268349.
%K A286902 nonn
%O A286902 1,2
%A A286902 _Harvey P. Dale_, May 15 2017