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A155592 8^n+2^n-1^n. 19
1, 9, 67, 519, 4111, 32799, 262207, 2097279, 16777471, 134218239, 1073742847, 8589936639, 68719480831, 549755822079, 4398046527487, 35184372121599, 281474976776191, 2251799813816319, 18014398509744127, 144115188076380159 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (11,-26,16).

FORMULA

G.f.: 1/(1-8*x)+1/(1-2*x)-1/(1-x). E.g.f.: e^(8*x)+e^(2*x)-e^x.

a(n)=10*a(n-1)-16*a(n-2)-7 with a(0)=1, a(1)=9 - Vincenzo Librandi, Jul 21 2010

MATHEMATICA

Table[8^n+2^n-1^n, {n, 0, 30}] (* or *) LinearRecurrence[{11, -26, 16}, {1, 9, 67}, 30] (* Harvey P. Dale, Jul 09 2017 *)

PROG

(PARI) a(n)=8^n+2^n-1 \\ Charles R Greathouse IV, Jun 11 2015

CROSSREFS

Cf. A074501, A074600, A005057, A005056, A099393, A155588, A155590.

Sequence in context: A016130 A115202 A287817 * A002051 A231192 A133120

Adjacent sequences:  A155589 A155590 A155591 * A155593 A155594 A155595

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jan 24 2009

STATUS

approved

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Last modified April 13 10:24 EDT 2021. Contains 342935 sequences. (Running on oeis4.)