%I A014635
%S A014635 0,6,28,66,120,190,276,378,496,630,780,946,1128,1326,1540,1770,2016,2278,
%T A014635 2556,2850,3160,3486,3828,4186,4560,4950,5356,5778,6216,6670,7140,7626,
%U A014635 8128,8646,9180,9730,10296,10878,11476,12090,12720,13366,14028,14706
%N A014635 2n(4n-1).
%C A014635 Even hexagonal numbers.
%C A014635 Number of edges in the join of two complete graphs of order 3n and n, 
               K_3n * K_n - Roberto E. Martinez II (remartin(AT)fas.harvard.edu), 
               Jan 07 2002
%C A014635 Bisection of A000384. Also, this sequence arises from reading the line 
               from 0, in the direction 0, 6,..., in the square spiral whose vertices 
               are the triangular numbers A000217. Perfect numbers are members of 
               this sequence because a(A134708(n))=A000396(n). Also, positive members 
               are a bisection of A139596. - Omar E. Pol (info(AT)polprimos.com), 
               May 07 2008
%H A014635 O. E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica 
               de los numeros primos y perfectos</a>.
%F A014635 a(n)=C(4*n,2),n>=0 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 
               02 2007
%F A014635 O.g.f.: 2x(3+5x)/(1-x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               May 06 2008
%F A014635 a(n)=8n^2-2n. - Omar E. Pol (info(AT)polprimos.com), May 07 2008
%F A014635 a(n)=16*n+a(n-1)-26 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 13 2009]
%e A014635 For n=2, a(2)=16*2+0-26=6; n=3, a(3)=16*3+6-26=28; n=4, a(4)=16*4+28-26=66 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]
%p A014635 [seq(binomial(4*n,2),n=0..43)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jan 02 2007
%t A014635 s=0;lst={s};Do[s+=n++ +6;AppendTo[lst, s], {n, 0, 7!, 16}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
%Y A014635 Cf. A000217, A000384, A000396, A134708, A139596.
%Y A014635 Sequence in context: A091307 A058007 A033588 this_sequence A034955 A117978 
               A119174
%Y A014635 Adjacent sequences: A014632 A014633 A014634 this_sequence A014636 A014637 
               A014638
%K A014635 nonn,easy,new
%O A014635 0,2
%A A014635 Mohammad K. Azarian (ma3(AT)evansville.edu)
%E A014635 More terms from Erich Friedman (erich.friedman(AT)stetson.edu).