OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
From Chai Wah Wu, May 31 2016: (Start)
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) for n > 5.
G.f.: (x^5 + 248826*x^4 + 4943366*x^3 + 10549826*x^2 + 3484101*x + 100000)/(x - 1)^6. (End)
E.g.f.: (100000 + 3984101*x + 12743115*x^2 + 9749575*x^3 + 2342560*x^4 + 161051*x^5)*exp(x). - G. C. Greubel, Jun 01 2016
MAPLE
seq((11*n+10)^5, n=0..30); # G. C. Greubel, Oct 29 2019
MATHEMATICA
(11*Range[30] -1)^5 (* G. C. Greubel, Jun 01 2016 *)
PROG
(Magma) [(11*n+10)^5: n in [0..30]]; // Vincenzo Librandi, Jun 01 2016
(PARI) vector(31, n, (11*n-1)^5) \\ G. C. Greubel, Oct 29 2019
(Sage) [(11*n+10)^5 for n in (0..30)] # G. C. Greubel, Oct 29 2019
(GAP) List([0..30], n-> (11*n+10)^5); # G. C. Greubel, Oct 29 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved