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A165149 a(n) = (3*9^n-5^n)/2. 3
1, 11, 109, 1031, 9529, 87011, 789349, 7135391, 64374769, 580154171, 5225293789, 47047175351, 423522234409, 3812188390931, 34312136924629, 308821439352911, 2779453989332449, 25015391079773291, 225140045596865869 (list; graph; refs; listen; history; text; internal format)
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

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)).

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

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Last modified February 17 10:59 EST 2019. Contains 320219 sequences. (Running on oeis4.)