login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A026055 a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0). 0
6, 14, 25, 40, 59, 84, 114, 150, 192, 242, 299, 364, 437, 520, 612, 714, 826, 950, 1085, 1232, 1391, 1564, 1750, 1950, 2164, 2394, 2639, 2900, 3177, 3472, 3784, 4114, 4462, 4830, 5217, 5624, 6051, 6500, 6970, 7462, 7976, 8514, 9075, 9660, 10269, 10904, 11564, 12250, 12962, 13702, 14469, 15264 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

LINKS

Table of n, a(n) for n=3..54.

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

FORMULA

a(n) = - 0.125 - 0.125*( - 1)^n - 0.25*cos(n*Pi/2) + (n + 2)*(n + 3)*(n + 13)/12 [From Richard Choulet, Dec 13 2008]

a(n) = (n + 2)*(n + 3)*(n + 13)/12 - 0.125 - 0.125*( - 1)^n - 0.25*cos(n*Pi/2) [From Richard Choulet, Dec 13 2008]

G.f. x^3*( 6-4*x+x^2+x^3+6*x^5-2*x^6-6*x^4 ) / ( (1+x)*(x^2+1)*(x-1)^4 ). - R. J. Mathar, Jun 22 2013

MATHEMATICA

LinearRecurrence[{3, -3, 1, 1, -3, 3, -1}, {6, 14, 25, 40, 59, 84, 114}, 60] (* Harvey P. Dale, Mar 27 2013 *)

CROSSREFS

Sequence in context: A095794 A119867 A293400 * A288939 A165986 A292670

Adjacent sequences:  A026052 A026053 A026054 * A026056 A026057 A026058

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 7 02:48 EDT 2020. Contains 334836 sequences. (Running on oeis4.)