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A139245 a(n) = 20*n - 16. 17

%I #39 Dec 31 2023 10:21:29

%S 4,24,44,64,84,104,124,144,164,184,204,224,244,264,284,304,324,344,

%T 364,384,404,424,444,464,484,504,524,544,564,584,604,624,644,664,684,

%U 704,724,744,764,784,804,824,844,864,884,904,924,944,964,984,1004,1024,1044

%N a(n) = 20*n - 16.

%C Multiples of 4 with the unit digit equal to 4.

%C Positive integers that are the product of two integers ending with 2 (see A017293). - _Stefano Spezia_, Jul 25 2021

%H Vincenzo Librandi, <a href="/A139245/b139245.txt">Table of n, a(n) for n = 1..2000</a>

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

%F a(n) = a(n-1) + 20.

%F a(n) = 4*A016861(n-1). - _Wesley Ivan Hurt_, Jan 17 2014

%F From _Stefano Spezia_, Jul 25 2021: (Start)

%F O.g.f.: 4*x*(1 + 4*x)/(1 - x)^2.

%F E.g.f.: 16 + 4*exp(x)*(5*x - 4).

%F a(n) = 2*a(n-1) - a(n-2) for n > 2. (End)

%p A139245:=n->20*n-16; seq(A139245(n), n=1..100); # _Wesley Ivan Hurt_, Jan 17 2014

%t Range[4, 1500, 20] (* _Vladimir Joseph Stephan Orlovsky_, Jun 01 2011 *)

%o (Magma) [20*n-16: n in [1..60]]; // _Vincenzo Librandi_, Jun 19 2011

%o (PARI) a(n)=20*n-16 \\ _Charles R Greathouse IV_, Aug 25 2014

%Y Subsequence of A034709, together with A017281, A017293, A139222, A017329, A139249, A139264, A139279 and A139280.

%Y Cf. A017293.

%K easy,nonn

%O 1,1

%A _Odimar Fabeny_, Jun 06 2008

%E More terms from _Reinhard Zumkeller_, Jun 22 2008

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Last modified September 17 05:28 EDT 2024. Contains 375985 sequences. (Running on oeis4.)