OFFSET
1,1
COMMENTS
Extrapolates a quadratic passing through 71, 73, 79.
LINKS
Michael M. Ross, Poly Primes: The Polynomiality of Proximate Primes.
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
FORMULA
G.f.: x*(71 - 140*x + 73*x^2)/(1 - x)^3. - Arkadiusz Wesolowski, Oct 24 2013
Sum_{n>=1} 1/a(n) = 1/142 + coth(sqrt(71/2)*Pi)/(2*sqrt(142)). - Amiram Eldar, Jul 30 2024
EXAMPLE
If n=10 then 2n^2 - 4n + 73 = 233.
MATHEMATICA
Table[2*n^2 - 4*n + 73, {n, 48}] (* Arkadiusz Wesolowski, Oct 24 2013 *)
PROG
(Magma) [2*n^2-4*n+73 : n in [1..48]]; // Arkadiusz Wesolowski, Oct 24 2013
(PARI) vector(48, n, 2*n^2-4*n+73) \\ Arkadiusz Wesolowski, Oct 24 2013
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Michael M. Ross, Mar 28 2007
EXTENSIONS
Extended by Charles R Greathouse IV, Jul 25 2010
STATUS
approved