OFFSET
0,1
COMMENTS
For n>4: a(n) = A176271(n+1,6). - Reinhard Zumkeller, Apr 13 2010
Fontebasso lists this as a prime-generating polynomial due to Legendre, but doesn't give a reference. - Charles R Greathouse IV, Jun 30 2021
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
P. A. Fontebasso, Un'altra formula che dà una serie limitata di numeri primi, Supplemento al Periodico di matematica (1899), p. 130.
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
FORMULA
a(n) = 2*n + a(n-1) (with a(0)=11). - Vincenzo Librandi, Aug 06 2010
Sum_{n>=0} 1/a(n) = Pi*tanh(Pi*sqrt(43)/2)/sqrt(43). - Amiram Eldar, Jan 17 2021
MAPLE
with(combinat):seq(fibonacci(3, n)+n+10, n=0..45); # Zerinvary Lajos, Jun 07 2008
MATHEMATICA
f[n_]:=n^2+n+11; f[Range[0, 100]] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011*)
PROG
(PARI) a(n)=n^2+n+11 \\ Charles R Greathouse IV, Jun 29 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved