OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
G.f.: 32*x*(1 + 26*x + 66*x^2 + 26*x^3 + x^4)/(1-x)^6. - Colin Barker, Sep 17 2012
E.g.f.: 32*x*(1 + 15*x + 25*x^2 + 10*x^3 + x^4)*exp(x). - G. C. Greubel, Sep 15 2018
From Amiram Eldar, Oct 10 2020: (Start)
Sum_{n>=1} 1/a(n) = zeta(5)/32.
Sum_{n>=1} (-1)^(n+1)/a(n) = 15*zeta(5)/512. (End)
MAPLE
MATHEMATICA
Table[(2*n)^5, {n, 0, 30}] (* G. C. Greubel, Sep 15 2018 *)
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 32, 1024, 7776, 32768, 100000}, 30] (* Harvey P. Dale, Sep 15 2019 *)
PROG
(Magma) [(2*n)^5: n in [0..30]]; // Vincenzo Librandi, Sep 05 2011
(PARI) vector(30, n, n--; (2*n)^5) \\ G. C. Greubel, Sep 15 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved