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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A131211 a(n)=(n^5-n-30)/30. 0

%I #5 Mar 31 2012 10:22:04

%S -1,-1,0,7,33,103,258,559,1091,1967,3332,5367,8293,12375,17926,25311,

%T 34951,47327,62984,82535,106665,136135,171786,214543,265419,325519,

%U 396044,478295,573677,683703,809998,954303,1118479,1304511,1514512,1750727,2015537,2311463,2641170,3007471,3413331

%N a(n)=(n^5-n-30)/30.

%C All numbers generated by the polynomial x^5-x-1 (see A126426) are congruent to 29 mod 30. The polynomial n^5-n-30 factors as (n-2)(n^4+2n^3+4n^2+8n+15)

%F a(n) = ((n^5 - n - 1) - 29)/30

%F G.f.: (-1+5*x-9*x^2+12*x^3-4*x^4+x^5)/(-1+x)^6. - _R. J. Mathar_, Nov 14 2007

%t Table[((n^5 - n - 1) - 29)/30, {n, -1, 100}]

%Y Cf. A126426, A134326, A134327.

%K sign

%O 0,4

%A _Artur Jasinski_, Oct 20 2007, Nov 15 2007

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)