# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a034524 Showing 1-1 of 1 %I A034524 #33 Feb 17 2024 10:28:49 %S A034524 2,12,122,1332,14642,161052,1771562,19487172,214358882,2357947692, %T A034524 25937424602,285311670612,3138428376722,34522712143932, %U A034524 379749833583242,4177248169415652,45949729863572162,505447028499293772 %N A034524 a(n) = 11^n + 1. %H A034524 T. D. Noe, Table of n, a(n) for n = 0..200 %H A034524 Index entries for linear recurrences with constant coefficients, signature (12,-11). %F A034524 From _Mohammad K. Azarian_, Jan 02 2009: (Start) %F A034524 G.f.: 1/(1-x) + 1/(1-11*x). %F A034524 E.g.f.: exp(x) + exp(11*x). (End) %F A034524 From _G. C. Greubel_, Mar 11 2023: (Start) %F A034524 a(n) = 11*a(n-1) - 10. %F A034524 a(n) = A001020(n) + 1. (End) %t A034524 LinearRecurrence[{12,-11},{2,12},18] (* _Ray Chandler_, Aug 26 2015 *) %t A034524 11^Range[0,30]+1 (* _G. C. Greubel_, Mar 11 2023 *) %o A034524 (Sage) [sigma(11,n)for n in range(0,18)] # - _Zerinvary Lajos_, Jun 04 2009 %o A034524 (PARI) a(n)=11^n+1 \\ _Charles R Greathouse IV_, Sep 24 2015 %o A034524 (Magma) [11^n +1: n in [0..30]]; // _G. C. Greubel_, Mar 11 2023 %Y A034524 Sequences of the form m^n + 1: A000012 (m=0), A007395 (m=1), A000051 (m=2), A034472 (m=3), A052539 (m=4), A034474 (m=5), A062394 (m=6), A034491 (m=7), A062395 (m=8), A062396 (m=9), A062397 (m=10), this sequence (m=11), A178248 (m=12), A141012 (m=13), A228081 (m=64). %Y A034524 Cf. A001020. %K A034524 nonn,easy %O A034524 0,1 %A A034524 _N. J. A. Sloane_ # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE