OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..3000
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). - Harvey P. Dale, Sep 23 2013
G.f.: 16*(16+545*x+1131*x^2+251*x^3+x^4)/(1-x)^5. - Harvey P. Dale, Aug 21 2021
From Amiram Eldar, Mar 31 2022: (Start)
a(n) = 16*A016792(n).
Sum_{n>=0} 1/a(n) = PolyGamma(3, 2/3)/7776. (End)
MATHEMATICA
(6*Range[0, 20]+4)^4 (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {256, 10000, 65536, 234256, 614656}, 30] (* Harvey P. Dale, Sep 23 2013 *)
PROG
(Magma) [(6*n+4)^4: n in [0..40]]; // Vincenzo Librandi, May 06 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved