cp's OEIS Frontend

A026062 a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).

%I A026062 #11 Oct 21 2022 21:29:09
%S A026062 9,16,25,36,51,68,88,111,137,168,202,240,282,328,380,436,497,563,634,
%T A026062 712,795,884,979,1080,1189,1304,1426,1555,1691,1836,1988,2148,2316,
%U A026062 2492,2678,2872,3075,3287,3508,3740,3981,4232,4493,4764,5047,5340,5644,5959,6285,6624,6974,7336,7710,8096
%N A026062 a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).
%H A026062 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1,0,1,-3,3,-1).
%F A026062 a(n)=(n + 5)*(n^2 + 25*n + 54)/30 - 1/5*(1 + ( - 1/2 - 1/2*5^(1/2))*cos(2*n*Pi/5) + ( - 3/10*2^(1/2)*(5 - 5^(1/2))^(1/2))*sin(2*n*Pi/5) + ( - 1/2 + 1/2*5^(1/2))*cos(4*n*Pi/5) + (3/10*2^(1/2)*(5 + 5^(1/2))^(1/2))*sin(4*n*Pi/5)) - _Richard Choulet_, Dec 14 2008
%F A026062 G.f. x^5*( 9-11*x+4*x^2+2*x^4-11*x^5+12*x^6-4*x^7 ) / ( (x^4+x^3+x^2+x+1)*(x-1)^4 ). - _R. J. Mathar_, Jun 23 2013
%Y A026062 Cf. A152894.
%K A026062 nonn,easy
%O A026062 5,1
%A A026062 _Clark Kimberling_