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A139616 a(n) = 120*n + 16. 3

%I #24 Apr 08 2024 21:30:26

%S 16,136,256,376,496,616,736,856,976,1096,1216,1336,1456,1576,1696,

%T 1816,1936,2056,2176,2296,2416,2536,2656,2776,2896,3016,3136,3256,

%U 3376,3496,3616,3736,3856,3976,4096,4216,4336,4456,4576,4696,4816

%N a(n) = 120*n + 16.

%C Numbers of the 16th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 16th column in the square array A057145.

%H Vincenzo Librandi, <a href="/A139616/b139616.txt">Table of n, a(n) for n = 0..5000</a>

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

%F a(n) = 2*a(n-1)-a(n-2). - _Wesley Ivan Hurt_, Jun 17 2021

%F From _Elmo R. Oliveira_, Apr 04 2024: (Start)

%F G.f.: 8*(2+13*x)/(x-1)^2.

%F E.g.f.: 8*exp(x)*(2 + 15*x).

%F a(n) = 8*(A008597(n) + 2). (End)

%o (Magma) [8*(15*n + 2): n in [0..60]]; // _Vincenzo Librandi_, Jul 23 2011

%o (PARI) a(n)=120*n+16 \\ _Charles R Greathouse IV_, Oct 05 2011

%Y Cf. A008597, A057145, A139600.

%K easy,nonn,changed

%O 0,1

%A _Omar E. Pol_, Apr 27 2008

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)