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).

9, 16, 25, 36, 51, 68, 88, 111, 137, 168, 202, 240, 282, 328, 380, 436, 497, 563, 634, 712, 795, 884, 979, 1080, 1189, 1304, 1426, 1555, 1691, 1836, 1988, 2148, 2316, 2492, 2678, 2872, 3075, 3287, 3508, 3740, 3981, 4232, 4493, 4764, 5047, 5340, 5644, 5959, 6285, 6624, 6974, 7336, 7710, 8096

Offset

5,1

Links

Table of n, a(n) for n=5..58.

Index entries for linear recurrences with constant coefficients, signature (3,-3,1,0,1,-3,3,-1).

Formula

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

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

Crossrefs

Cf. A152894.

Sequence in context: A339859 A076093 A085585 * A108945 A177430 A256705

Adjacent sequences: A026059 A026060 A026061 * A026063 A026064 A026065

Keyword

nonn,easy

Author

Clark Kimberling

Status

approved