OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (2,-1).
FORMULA
a(n) = 2*a(n-1) - a(n-2).
G.f.: (19+11*x)/(x-1)^2.
Sum_{n>=0} a(n)/(16*(n+1)^3*(2*n+1)*binomial(2*n+1,n)^2) = zeta(3). - Daniel Suteu, Oct 31 2017
E.g.f.: exp(x)*(19 + 30*x). - Elmo R. Oliveira, Dec 08 2024
MATHEMATICA
Range[19, 7000, 30] (* Vladimir Joseph Stephan Orlovsky, Jul 13 2011 *)
LinearRecurrence[{2, -1}, {19, 49}, 50] (* Vincenzo Librandi, Mar 01 2012 *)
PROG
(Magma) I:=[19, 49]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Mar 01 2012
CROSSREFS
KEYWORD
nonn,easy,changed
AUTHOR
Vincenzo Librandi, Aug 12 2009
EXTENSIONS
Offset corrected by R. J. Mathar, Oct 12 2009
STATUS
approved