Search: id:A114949
Results 1-1 of 1 results found.

%I A114949
%S A114949 6,7,10,15,22,31,42,55,70,87,106,127,150,175,202,231,262,295,330,367,406,
%T A114949 447,490,535,582,631,682,735,790,847,906,967,1030,1095,1162,1231,1302,
%U A114949 1375,1450,1527,1606,1687,1770,1855,1942,2031,2122,2215,2310,2407,2506
%N A114949 n^2 + 6.
%F A114949 a(n)=3*a(n-1)-3*a(n-2)+a(n-3). G.f.: -(6-11*x+7*x^2)/(x-1)^3 [R. J. Mathar 
               (mathar(AT)strw.leidenuniv.nl), May 17 2009]
%F A114949 a(n)=2*n+a(n-1)-3 (with a(1)=6) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 07 2009]
%e A114949 For n=2, a(2)=2*2+6-3=7; n=3, a(3)=2*3+7-3=10; n=4, a(4)=2*4+10-3=15 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]
%t A114949 a[n_]:=n^2+6; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 15 
               2008]
%o A114949 (PARI) g(n) = for(x=1,n,y=x^2+6;print1(y","))
%o A114949 (Other) sage: [lucas_number1(3,n,-6) for n in xrange(0, 50)] # Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009
%o A114949 (Other) sage: [crt(2,-(n^2), 4, 5)-crt(1,-(n^2), 3, 4) for n in xrange(0, 
               50)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 22 
               2009]
%Y A114949 A002522, A059100, A117950, A087475, A117951, A117619 [Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), May 16 2009]
%Y A114949 Sequence in context: A083133 A101972 A102727 this_sequence A081359 A015825 
               A164018
%Y A114949 Adjacent sequences: A114946 A114947 A114948 this_sequence A114950 A114951 
               A114952
%K A114949 easy,nonn,new
%O A114949 0,1
%A A114949 Cino Hilliard (hillcino368(AT)gmail.com), Feb 21 2006

Search completed in 0.001 seconds