Search: id:A080856
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%I A080856
%S A080856 1,5,25,61,113,181,265,365,481,613,761,925,1105,1301,1513,1741,1985,
%T A080856 2245,2521,2813,3121,3445,3785,4141,4513,4901,5305,5725,6161,6613,7081,
%U A080856 7565,8065,8581,9113,9661,10225,10805,11401,12013,12641,13285,13945
%N A080856 Generalized polygonal numbers.
%C A080856 Row T(4,n) of A080853
%C A080856 {a(k): 0 <= k < 3} = divisors of 25. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 17 2009]
%H A080856 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a> [From 
               Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009]
%F A080856 a(n)=8n^2-4n+1 = (16n^2-8n+2)/2 G.f.: (1+2x+13x^2)/(1-x)^3
%F A080856 a(n)=A060820(n), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Sep 18 2008]
%F A080856 a(n) = C(n,0) + 4*C(n,1) + 16*C(n,2). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 17 2009]
%F A080856 a(n)=16*n+a(n-1)-28 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 16 2009]
%e A080856 For n=2, a(2)=16*2+1-28=5; n=3, a(3)=16*3+5-28=25; n=4, a(4)=16*4+25-28=61 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 16 2009]
%Y A080856 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, 
               A161702, A161703, A000127, A161704, A161706, A161707, A161708, A161710, 
               A161711, A161712, A161713, A161715, A006261. [From Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Jun 17 2009]
%Y A080856 Sequence in context: A146649 A146412 A152734 this_sequence A060820 A146404 
               A054994
%Y A080856 Adjacent sequences: A080853 A080854 A080855 this_sequence A080857 A080858 
               A080859
%K A080856 easy,nonn
%O A080856 0,2
%A A080856 Paul Barry (pbarry(AT)wit.ie), Feb 23 2003

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