OFFSET
0,1
LINKS
Muniru A Asiru, Table of n, a(n) for n = 0..4000
Patrick De Geest, Palindromic Quasi_Over_Squares of the form n^2+(n+X).
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
FORMULA
a(n) = 2*n + a(n-1) (with a(0)=8). - Vincenzo Librandi, Aug 05 2010
a(0)=8, a(1)=10, a(2)=14, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, Dec 13 2011
G.f.: (2*(7-4*x)*x-8)/(x-1)^3. - Harvey P. Dale, Dec 13 2011
Sum_{n>=0} 1/a(n) = Pi*tanh(Pi*sqrt(31)/2)/sqrt(31). - Amiram Eldar, Jan 17 2021
MAPLE
with (combinat):seq(fibonacci(3, n)+n+7, n=0..46); # Zerinvary Lajos, Jun 07 2008
MATHEMATICA
f[n_]:=n^2+n+8; f[Range[0, 100]] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011 *)
LinearRecurrence[{3, -3, 1}, {8, 10, 14}, 60] (* Harvey P. Dale, Dec 13 2011 *)
PROG
(PARI) a(n)=n^2+(n+8) \\ Charles R Greathouse IV, Jun 17 2017
(GAP) List([0..50], n->n^2+n+8); # Muniru A Asiru, Jul 15 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved