OFFSET
0,1
COMMENTS
Jacobsthal numbers ending with the decimal digit 3. - Jianing Song, Aug 30 2022
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (17,-16).
FORMULA
G.f.: (3-8*x)/((1-x)*(1-16*x)). [Colin Barker, Apr 05 2012]
a(0)=3, a(1)=43, a(n)=17*a(n-1)-16*a(n-2). - Harvey P. Dale, Mar 16 2015
From Jianing Song, Aug 30 2022: (Start)
a(n) = A001045(4*n+3).
MATHEMATICA
LinearRecurrence[{17, -16}, {3, 43}, 30] (* Harvey P. Dale, Mar 16 2015 *)
PROG
(Magma) [(1/3)*(1+8*16^n): n in [0..25]]; // Vincenzo Librandi, May 25 2011
(PARI) a(n)=8*16^n\3+1 \\ Charles R Greathouse IV, May 25, 2011
CROSSREFS
KEYWORD
nonn,easy,less
AUTHOR
Paul Curtz, Jul 30 2008
STATUS
approved