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A155637 10^n+5^n-1. 15

%I

%S 1,14,124,1124,10624,103124,1015624,10078124,100390624,1001953124,

%T 10009765624,100048828124,1000244140624,10001220703124,

%U 100006103515624,1000030517578124,10000152587890624,100000762939453124

%N 10^n+5^n-1.

%H Harvey P. Dale, <a href="/A155637/b155637.txt">Table of n, a(n) for n = 0..998</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (16,-65,50).

%F G.f.: 1/(1-10*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(10*x)+e^(5*x)-e^x.

%F a(n)=15*a(n-1)-50*a(n-2)-36 with a(0)=1, a(1)=14 - _Vincenzo Librandi_, Jul 21 2010

%F a(0)=1, a(1)=14, a(2)=124, a(n)=16*a(n-1)-65*a(n-2)+50*a(n-3) [From Harvey P. Dale, Oct 17 2011]

%p A155637:=n->10^n+5^n-1; seq(A155637(n), n=0..20); # _Wesley Ivan Hurt_, Feb 02 2014

%t Table[10^n+5^n-1,{n,0,20}] (* or *) LinearRecurrence[{16,-65,50},{1,14,124},20] (* _Harvey P. Dale_, Oct 17 2011 *)

%o (PARI) a(n)=10^n+5^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 30 2009

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Last modified March 2 06:37 EST 2021. Contains 341744 sequences. (Running on oeis4.)