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!)
A026044 a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0). 0

%I

%S 22,33,49,70,97,132,176,229,292,367,455,556,671,802,950,1115,1298,

%T 1501,1725,1970,2237,2528,2844,3185,3552,3947,4371,4824,5307,5822,

%U 6370,6951,7566,8217,8905,9630,10393,11196,12040,12925,13852,14823,15839,16900,18007,19162,20366,21619,22922,24277

%N a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (4,-7,8,-7,4,-1).

%F a(n)=(n + 5)*(2*n^2 + 11*n + 54)/12 - 1/4 - (1/4)*cos(Pi*n/2) - (1/4)*sin(Pi*n/2) [From _Richard Choulet_, Dec 13 2008]

%F G.f. x^5*( 22-55*x+71*x^2-71*x^3+50*x^4-15*x^5 ) / ( (x^2+1)*(x-1)^4 ). - _R. J. Mathar_, Jun 22 2013

%t LinearRecurrence[{4,-7,8,-7,4,-1},{22,33,49,70,97,132},60] (* _Harvey P. Dale_, Apr 27 2019 *)

%K nonn

%O 5,1

%A _Clark Kimberling_

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 August 8 19:07 EDT 2020. Contains 336298 sequences. (Running on oeis4.)