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A155594 10^n+2^n-1. 17
1, 11, 103, 1007, 10015, 100031, 1000063, 10000127, 100000255, 1000000511, 10000001023, 100000002047, 1000000004095, 10000000008191, 100000000016383, 1000000000032767, 10000000000065535, 100000000000131071 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (13,-32,20).

FORMULA

G.f.: 1/(1-10*x)+1/(1-2*x)-1/(1-x). E.g.f.: e^(10*x)+e^(2*x)-e^x.

a(n)=12*a(n-1)-20*a(n-2)-9 with a(0)=1, a(1)=11 - Vincenzo Librandi, Jul 21 2010

a(0)=1, a(1)=11, a(2)=103, a(n)=13*a(n-1)-32*a(n-2)+20*a(n-3). - Harvey P. Dale, Mar 07 2015

MATHEMATICA

LinearRecurrence[{13, -32, 20}, {1, 11, 103}, 20] (* Harvey P. Dale, Mar 07 2015 *)

PROG

(PARI) a(n)=10^n+2^n-1^n \\ Charles R Greathouse IV, Jun 11 2015

CROSSREFS

Cf. A074501, A074600, A005057, A005056, A099393, A155588, A155590, A155592, A155593.

Sequence in context: A141915 A016133 A287833 * A077250 A173851 A295840

Adjacent sequences:  A155591 A155592 A155593 * A155595 A155596 A155597

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jan 24 2009

STATUS

approved

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Last modified November 16 17:04 EST 2019. Contains 329201 sequences. (Running on oeis4.)