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A017497 a(n) = 11*n + 9. 14

%I #38 Aug 22 2022 09:12:49

%S 9,20,31,42,53,64,75,86,97,108,119,130,141,152,163,174,185,196,207,

%T 218,229,240,251,262,273,284,295,306,317,328,339,350,361,372,383,394,

%U 405,416,427,438,449,460,471,482,493,504,515,526,537,548,559,570,581,592

%N a(n) = 11*n + 9.

%H Vincenzo Librandi, <a href="/A017497/b017497.txt">Table of n, a(n) for n = 0..10000</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).

%F From _G. C. Greubel_, Oct 28 2019: (Start)

%F G.f.: (9+2*x)/(1-x)^2.

%F E.g.f.: (9+11*x)*exp(x). (End)

%p seq(11*n+9, n=0..60); # _G. C. Greubel_, Oct 28 2019

%t Range[9, 1000, 11] (* _Vladimir Joseph Stephan Orlovsky_, May 29 2011 *)

%t (11*Range[60] - 2) (* _G. C. Greubel_, Oct 28 2019 *)

%o (Magma) [11*n+9: n in [0..60]]; // _Vincenzo Librandi_, Sep 18 2011

%o (PARI) a(n)=11*n+9 \\ _Charles R Greathouse IV_, Jul 10 2016

%o (Sage) [11*n+9 for n in (0..60)] # _G. C. Greubel_, Oct 28 2019

%o (GAP) List([0..60], n-> 11*n+9); # _G. C. Greubel_, Oct 28 2019

%Y Cf. A008593, A017401, A017413.

%Y Powers of the form (11*n+9)^m: this sequence (m=1), A017498 (m=2), A017499 (m=3), A017500 (m=4), A017501 (m=5), A017502 (m=6), A017503 (m=7), A017504 (m=8), A017505 (m=9), A017506 (m=10), A017607 (m=11), A017508 (m=12).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)