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A350522 a(n) = 18*n + 16.

%I A350522 #31 Apr 16 2024 07:08:23
%S A350522 16,34,52,70,88,106,124,142,160,178,196,214,232,250,268,286,304,322,
%T A350522 340,358,376,394,412,430,448,466,484,502,520,538,556,574,592,610,628,
%U A350522 646,664,682,700,718,736,754,772,790,808,826,844,862,880,898,916,934,952,970
%N A350522 a(n) = 18*n + 16.
%C A350522 Sixth column of A006370 (the Collatz or 3x+1 map) when it is interpreted as a rectangular array with six columns read by rows.
%H A350522 Leo Tavares, <a href="/A350522/a350522.jpg">Illustration: Triple Hexagonal Rings</a>
%H A350522 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A350522 a(n) = A239129(n+1) - 1.
%F A350522 From _Stefano Spezia_, Jan 04 2022: (Start)
%F A350522 O.g.f.: 2*(8 + x)/(1 - x)^2.
%F A350522 E.g.f.: 2*exp(x)*(8 + 9*x).
%F A350522 a(n) = 2*a(n-1) - a(n-2) for n > 1. (End)
%F A350522 a(n) = 3*A008588(n+1) - 2. - _Leo Tavares_, Sep 14 2022
%F A350522 From _Elmo R. Oliveira_, Apr 12 2024: (Start)
%F A350522 a(n) = 2*A017257(n) = A006370(A016969(n)).
%F A350522 a(n) = 2*(A062728(n+1) - A062728(n)). (End)
%p A350522 seq(18*n+16, n=0..53);
%t A350522 Table[18n+16, {n, 0, 53}]
%o A350522 (PARI) a(n)=18*n+16
%o A350522 (Magma) [18*n+16: n in [0..53]];
%o A350522 (Maxima) makelist(18*n+16, n, 0, 53);
%o A350522 (GAP) List([0..53], n-> 18*n+16)
%o A350522 (Python) [18*n+16 for n in range(53)]
%Y A350522 Bisection of A017245.
%Y A350522 Cf. A006370, A008588, A008600, A016969, A017257, A062728, A239129.
%K A350522 nonn,easy
%O A350522 0,1
%A A350522 _Omar E. Pol_, Jan 03 2022