A165149 a(n) = (3*9^n - 5^n)/2.

1, 11, 109, 1031, 9529, 87011, 789349, 7135391, 64374769, 580154171, 5225293789, 47047175351, 423522234409, 3812188390931, 34312136924629, 308821439352911, 2779453989332449, 25015391079773291, 225140045596865869, 2026268039766324071, 18236450504869572889, 164128245278689437251

Offset

0,2

Comments

Binomial transform of A165148. Inverse binomial transform of A165150.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (14,-45).

Formula

a(n) = 14*a(n-1) - 45*a(n-2) for n > 1; a(0) = 1, a(1) = 11.

G.f.: (1 - 3*x)/((1 - 5*x)*(1 - 9*x)).

E.g.f.: exp(5*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 21 2023

Maple

A165149:=n->(3*9^n-5^n)/2; seq(A165149(n), n=0..30); # Wesley Ivan Hurt, Dec 10 2013

Mathematica

Table[(3*9^n - 5^n)/2, {n, 0, 30}] (* Wesley Ivan Hurt, Dec 10 2013 *)

Prog

(Magma) [ (3*9^n-5^n)/2: n in [0..18] ];

Crossrefs

Cf. A165148, A165150.

Sequence in context: A142423 A159495 A125423 * A048346 A054320 A287836

Adjacent sequences: A165146 A165147 A165148 * A165150 A165151 A165152

Keyword

nonn,easy

Author

Klaus Brockhaus, Sep 15 2009

Status

approved