A191695 a(n) = floor((5^n)/(3^n - 2^n)).

5, 5, 6, 9, 14, 23, 37, 61, 101, 168, 278, 462, 769, 1280, 2131, 3550, 5913, 9853, 16418, 27359, 45594, 75985, 126636, 211055, 351751, 586244, 977065, 1628433, 2714045, 4523397, 7538982, 12564956, 20941578, 34902612, 58171000, 96951645, 161586051, 269310058

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

a(n) = (5/3)^n + (10/9)^n + O(1). - Charles R Greathouse IV, Mar 14 2022

Mathematica

f[n_] := Floor[(5^n)/(3^n-2^n)]
Table[f[n], {n, 1, 40}]     (* A191695 *)

Prog

(Magma) [Floor((5^n)/(3^n-2^n)): n in [1..40] ]; // Vincenzo Librandi, Sep 10 2011
(PARI) a(n)=5^n\(3^n-2^n) \\ Charles R Greathouse IV, Mar 14 2022

Crossrefs

Cf. A191696.

Sequence in context: A153444 A175476 A019528 * A298915 A008945 A008705

Adjacent sequences: A191692 A191693 A191694 * A191696 A191697 A191698

Keyword

nonn,easy

Author

Clark Kimberling, Jun 11 2011

Extensions

Mathematica program corrected by Harvey P. Dale, Mar 20 2013

Status

approved