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%I #41 Aug 26 2024 13:32:53
%S 1,11111,123454321,1371700960631,15240969373571041,
%T 169342410709747836551,1881563525396008211918161,
%U 20906052330675047242622686871,232287147446130449912780673823681,2580942495273955428980906066854919591,28676852064988918771406847308825011575601,318628503294091876469101480448354703616502711
%N Powers of 11111.
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (11111).
%F a(n) = 11111^n.
%F G.f.: 1/(1 - 11111*x).
%F From _Elmo R. Oliveira_, Aug 26 2024: (Start)
%F E.g.f.: exp(11111*x).
%F a(n) = 11111*a(n-1) for n > 0.
%F a(n) = 271^n * A009985(n). (End)
%o (PARI) my(x='x+O('x^99)); Vec(1/(1-11111*x)) \\ _Altug Alkan_, Mar 10 2018
%Y Powers of ((10^k - 1)/9): A000012 (k=1), A001020 (k=2), A225374 (k=3), A291945 (k=4), this sequence (k=5), A109716 (k=6).
%Y Cf. A009985.
%K nonn,easy
%O 0,2
%A _Seiichi Manyama_, Mar 09 2018