OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,-2).
FORMULA
a(n) = 2^(n+6) - 64.
a(n) = A173787(n+6, 6).
a(n) = 3*a(n-1) - 2*a(n-2), a(0)=0, a(1)=64. - Vincenzo Librandi, Dec 28 2010
From G. C. Greubel, Jul 08 2021: (Start)
G.f.: 64*x/((1-x)*(1-2*x)).
E.g.f.: 64*(exp(2*x) - exp(x)). (End)
MATHEMATICA
LinearRecurrence[{3, -2}, {0, 64}, 30] (* Harvey P. Dale, Apr 08 2015 *)
PROG
(Magma) I:=[0, 64]; [n le 2 select I[n] else 3*Self(n-1) - 2*Self(n-2): n in [1..41]]; // G. C. Greubel, Jul 08 2021
(Sage) [64*(2^n -1) for n in (0..40)] # G. C. Greubel, Jul 08 2021
(Python)
def A175166(n): return (1<<n)-1<<6 # Chai Wah Wu, Jun 27 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 28 2010
STATUS
approved