A191696 a(n) = floor((5^n)/(3^n + 2^n)).

1, 1, 3, 6, 11, 19, 33, 57, 96, 162, 272, 455, 761, 1271, 2121, 3539, 5901, 9839, 16403, 27342, 45576, 75965, 126614, 211029, 351723, 586213, 977031, 1628395, 2714003, 4523350, 7538930, 12564898, 20941513, 34902540, 58170920, 96951556, 161585952, 269309948

Offset

1,3

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}]     (* A191696 *)

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. A191695.

Sequence in context: A179006 A281573 A262987 * A252479 A320850 A180086

Adjacent sequences: A191693 A191694 A191695 * A191697 A191698 A191699

Keyword

nonn,easy

Author

Clark Kimberling, Jun 11 2011

Status

approved