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A106839 Numbers congruent to 11 mod 16. 7

%I #28 Sep 08 2022 08:45:18

%S 11,27,43,59,75,91,107,123,139,155,171,187,203,219,235,251,267,283,

%T 299,315,331,347,363,379,395,411,427,443,459,475,491,507,523,539,555,

%U 571,587,603,619,635,651,667,683,699,715,731,747,763,779,795,811,827,843

%N Numbers congruent to 11 mod 16.

%H Vincenzo Librandi, <a href="/A106839/b106839.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 G.f.: x*(11+5*x) / ( (x-1)^2 ). - _R. J. Mathar_, Oct 08 2011

%F From _Vincenzo Librandi_, Oct 10 2011: (Start)

%F a(n) = 11 + 16*n;

%F a(n) = 32*n - a(n-1) + 6, a(0)=11. (End)

%t Range[11, 1000, 16] (* _Vladimir Joseph Stephan Orlovsky_, May 31 2011 *)

%t LinearRecurrence[{2,-1},{11,27},60] (* _Harvey P. Dale_, Aug 12 2021 *)

%o (Magma) [[ n : n in [1..1000] | n mod 16 eq 11]]; // _Vincenzo Librandi_, Oct 10 2011

%o (PARI) a(n)=16*n+11 \\ _Charles R Greathouse IV_, Oct 16 2015

%o (Python)

%o def a(n): return 11 + 16*n

%o print([a(n) for n in range(53)]) # _Michael S. Branicky_, Nov 27 2021

%Y Differs from A044072.

%Y Cf. A008598, A119413, A051062.

%K nonn,easy

%O 0,1

%A _Ralf Stephan_, May 03 2005

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)