A180355 a(n) = n^5 + 5n.
0, 6, 42, 258, 1044, 3150, 7806, 16842, 32808, 59094, 100050, 161106, 248892, 371358, 537894, 759450, 1048656, 1419942, 1889658, 2476194, 3200100, 4084206, 5153742, 6436458, 7962744, 9765750, 11881506, 14349042, 17210508, 20511294
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
Programs
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PARI
a(n)=n^5+5*n \\ Charles R Greathouse IV, Oct 16 2015
Formula
From R. J. Mathar, Sep 24 2010: (Start)
G.f.: 6*x*(1+x+16*x^2+x^3+x^4)/(x-1)^6.
a(n) = +6*a(n-1) -15*a(n-2) +20*a(n-3) -15*a(n-4) +6*a(n-5) -a(n-6). (End)
Extensions
First term corrected by Odimar Fabeny, Sep 23 2010
a(0) corrected by R. J. Mathar, Sep 24 2010