OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5); a(0)=2401, a(1)=104976, a(2)=707281, a(3)=2560000, a(4)=6765201. - Harvey P. Dale, Oct 21 2015
From G. C. Greubel, Sep 19 2019: (Start)
G.f.: (2401 +92971*x +206411*x^2 +49345*x^3 +256*x^4)/(1-x)^5.
E.g.f.: (2401 +102575*x +249865*x^2 +125114*x^3 +14641 x^4)*exp(x). (End)
MAPLE
seq((11*n+7)^4, n=0..30); # G. C. Greubel, Sep 19 2019
MATHEMATICA
(11*Range[0, 30]+7)^4 (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {2401, 104976, 707281, 2560000, 6765201}, 30] (* Harvey P. Dale, Oct 21 2015 *)
PROG
(Magma) [(11*n+7)^4: n in [0..30]]; // Vincenzo Librandi, Sep 04 2011
(PARI) vector(30, n, (11*n-4)^4) \\ G. C. Greubel, Sep 19 2019
(Sage) [(11*n+7)^4 for n in (0..30)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..30], n-> (11*n+7)^4); # G. C. Greubel, Sep 19 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved