OFFSET
1,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
a(n) = 80*n^4 + 952*n^2 - 768*n + 525. [Simplified by M. F. Hasler, Oct 08 2014]
G.f.: (525*z^4 - 300*z^3 + 774*z^2 + 132*z + 789)/(1-z)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5); a(1)=789, a(2)=4077, a(3)=13269, a(4)=33165, a(5)=70485. - Harvey P. Dale, Jul 21 2011
MATHEMATICA
Table[80n^4+952n^2-768n+525, {n, 30}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {789, 4077, 13269, 33165, 70485}, 30] (* Harvey P. Dale, Jul 21 2011 *)
PROG
(Magma) [80*n^4+952*n^2-768*n+525: n in [1..35]]; // Vincenzo Librandi, Jul 21 2011, simplified by M. F. Hasler, Oct 08 2014
(PARI) a(n)=80*n^4+952*n^2-768*n+525 \\ M. F. Hasler, Oct 08 2014
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
EXTENSIONS
Corrected and edited by M. F. Hasler, Oct 08 2014
STATUS
approved