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%I A194713 #17 Sep 08 2022 08:45:58
%S A194713 0,13,78,195,364,585,858,1183,1560,1989,2470,3003,3588,4225,4914,5655,
%T A194713 6448,7293,8190,9139,10140,11193,12298,13455,14664,15925,17238,18603,
%U A194713 20020,21489,23010,24583,26208,27885,29614,31395,33228,35113,37050,39039
%N A194713 13 times hexagonal numbers: 13*n*(2*n-1).
%C A194713 Sequence found by reading the line from 0, in the direction 0, 13, ..., in the square spiral whose vertices are the generalized 15-gonal numbers.
%H A194713 Vincenzo Librandi, <a href="/A194713/b194713.txt">Table of n, a(n) for n = 0..10000</a>
%H A194713 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A194713 a(n) = 26*n^2 - 13*n = 13*A000384(n).
%F A194713 a(n) = a(n-1) + 52*n - 39, a(0)=0. - _Vincenzo Librandi_, Oct 03 2011
%o A194713 (Magma) [13*n*(2*n-1): n in [0..50]]; // _Vincenzo Librandi_, Oct 03 2011
%o A194713 (PARI) a(n)=13*n*(2*n-1) \\ _Charles R Greathouse IV_, Jun 17 2017
%Y A194713 Cf. A000384, A002939, A094159, A152745, A195320, A154617, A143698.
%K A194713 nonn,easy
%O A194713 0,2
%A A194713 _Omar E. Pol_, Oct 02 2011

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