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A188165 2^n + 9. 5
10, 11, 13, 17, 25, 41, 73, 137, 265, 521, 1033, 2057, 4105, 8201, 16393, 32777, 65545, 131081, 262153, 524297, 1048585, 2097161, 4194313, 8388617, 16777225, 33554441, 67108873, 134217737, 268435465, 536870921, 1073741833, 2147483657, 4294967305 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2).

FORMULA

From Bruno Berselli, Sep 26 2011:  (Start)

G.f.: (10-19*x)/(1-3*x+2*x^2).

a(n) = 2*a(n-1)-9 = 3*a(n-1)-2*a(n-2).

a(n) = A168415(n)+2.  (End)

MATHEMATICA

Table[2^n + 9, {n, 0, 40}] (* or *) CoefficientList[Series[(10 - 19 x)/((1 - x) (1 - 2 x)), {x, 0, 30}], x] (* Vincenzo Librandi, May 13 2014 *)

PROG

(PARI) a(n) = 1<<n + 9 \\ Michel Marcus, Jul 19 2013

(MAGMA) [2^n+9: n in [0..40]]; // Vincenzo Librandi, May 13 2014

CROSSREFS

Cf. A104070 (primes of this form).

Sequence in context: A121265 A045986 A216836 * A125588 A253205 A095038

Adjacent sequences:  A188162 A188163 A188164 * A188166 A188167 A188168

KEYWORD

nonn,easy

AUTHOR

Brad Clardy, Mar 23 2011

STATUS

approved

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Last modified March 23 18:13 EDT 2019. Contains 321433 sequences. (Running on oeis4.)