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Powers of 111111.
3

%I #23 Aug 16 2024 12:24:06

%S 1,111111,12345654321,1371737997260631,152415180613625971041,

%T 16935003133160595268336551,1881665133128606900860142518161,

%U 209073694607052641361471295335386871,23230387281484226034314437096010170623681,2581151561232993838898711420174786068167819591

%N Powers of 111111.

%H Seiichi Manyama, <a href="/A109716/b109716.txt">Table of n, a(n) for n = 0..198</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (111111).

%F a(n) = 111111^n.

%F From _Elmo R. Oliveira_, Aug 11 2024: (Start)

%F G.f.: 1/(1 - 111111*x).

%F E.g.f.: exp(111111*x).

%F a(n) = 111111*a(n-1) for n > 0. (End)

%t NestList[111111#&,1,10] (* _Harvey P. Dale_, Oct 15 2022 *)

%o (PARI) a(n) = 111111^n \\ _Charles R Greathouse IV_, Sep 25 2014

%K nonn,easy

%O 0,2

%A _Philippe Deléham_, Aug 08 2005

%E Corrected by _Charles R Greathouse IV_, Sep 25 2014