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 A226737 #30 Mar 06 2025 09:11:17
%S A226737 1,12,123,1334,14645,161056,1771567,19487178,214358889,2357947700,
%T A226737 25937424611,285311670622,3138428376733,34522712143944,
%U A226737 379749833583255,4177248169415666,45949729863572177,505447028499293788,5559917313492231499,61159090448414546310,672749994932560009221
%N A226737 a(n) = 11^n + n.
%H A226737 Vincenzo Librandi, <a href="/A226737/b226737.txt">Table of n, a(n) for n = 0..300</a>
%H A226737 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (13,-23,11).
%F A226737 G.f.: (-1+x+10*x^2)/((11*x-1)*(x-1)^2).
%F A226737 a(n) = 13*a(n-1) - 23*a(n-2) + 11*a(n-3).
%F A226737 E.g.f.: exp(x)*(exp(10*x) + x). - _Elmo R. Oliveira_, Mar 06 2025
%t A226737 Table[11^n + n, {n, 0, 30}] (* or *) CoefficientList[Series[(- 1 + x + 10 x^2) / ((11 x - 1) (x - 1)^2), {x, 0, 30}], x]
%t A226737 LinearRecurrence[{13,-23,11},{1,12,123},20] (* _Harvey P. Dale_, Nov 14 2018 *)
%o A226737 (Magma) [11^n+n: n in [0..30]];
%o A226737 (Magma) I:=[1, 12, 123]; [n le 3 select I[n] else 13*Self(n-1)-23*Self(n-2)+11*Self(n-3): n in [1..30]];
%o A226737 (PARI) a(n)=11^n+n \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A226737 Cf. numbers of the form k^n + n: A006127 (k=2), A104743 (k=3), A158879 (k=4), A104745 (k=5), A226200 (k=6), A226199 (k=7), A226201 (k=8), A226202 (k=9), A081552 (k=10), this sequence (k=11).
%Y A226737 Cf. A199764 (first differences).
%K A226737 nonn,easy
%O A226737 0,2
%A A226737 _Vincenzo Librandi_, Jun 16 2013