A026062 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

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