OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Tanya Khovanova, Recursive Sequences.
Index entries for linear recurrences with constant coefficients, signature (1,1).
FORMULA
From Elmo R. Oliveira, Mar 30 2026: (Start)
G.f.: (1 + 31*x)/(1 - x - x^2).
a(n) = a(n-1) + a(n-2). (End)
MAPLE
a:= n-> (<<0|1>, <1|1>>^n. <<1, 32>>)[1, 1]:
seq(a(n), n=0..36); # Alois P. Heinz, Mar 30 2026
MATHEMATICA
Table[Fibonacci[n + 2] + 30*Fibonacci[n], {n, 0, 50}] (* G. C. Greubel, Mar 01 2018 *)
LinearRecurrence[{1, 1}, {1, 32}, 40] (* Harvey P. Dale, Nov 16 2024 *)
PROG
(PARI) for(n=0, 40, print1(fibonacci(n+2) + 30*fibonacci(n), ", ")) \\ G. C. Greubel, Mar 01 2018
(Magma) [Fibonacci(n+2) + 30*Fibonacci(n): n in [0..40]]; // G. C. Greubel, Mar 01 2018
CROSSREFS
KEYWORD
nonn,easy,changed
AUTHOR
EXTENSIONS
Terms a(30) onward added by G. C. Greubel, Mar 01 2018
STATUS
approved