This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A291945 #42 Aug 17 2024 10:10:09 %S A291945 1,1111,1234321,1371330631,1523548331041,1692662195786551, %T A291945 1880547699518858161,2089288494165451416871,2321199517017816524143681, %U A291945 2578852663406794158323629591,2865105309044948309897552475601,3183131998348937572296180800392711,3536459650165669642821056869236301921,3929006671334058973174194181721531434231 %N A291945 Powers of 1111. %H A291945 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1111). %F A291945 a(n) = 1111^n. %F A291945 G.f.: 1/(1 - 1111*x). %F A291945 From _Elmo R. Oliveira_, Aug 16 2024: (Start) %F A291945 E.g.f.: exp(1111*x). %F A291945 a(n) = 1111*a(n-1) for n > 0. %F A291945 a(n) = A001020(n)*A096884(n). (End) %t A291945 1111^Range[0,20] (* _Harvey P. Dale_, Jul 27 2022 *) %o A291945 (PARI) a(n) = 1111^n; \\ _Michel Marcus_, Mar 11 2018 %Y A291945 Powers of ((10^k - 1)/9): A000012 (k=1), A001020 (k=2), A225374 (k=3), this sequence (k=4), A291946 (k=5), A109716 (k=6). %Y A291945 Cf. A096884. %K A291945 nonn,easy %O A291945 0,2 %A A291945 _Seiichi Manyama_, Mar 09 2018