Search: id:A046162
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%I A046162
%S A046162 0,1,4,3,16,25,12,49,64,27,100,121,48,169,196,75,256,289,108,361,400,
%T A046162 147,484,529,192,625,676,243,784,841,300,961,1024,363,1156,1225,432,
%U A046162 1369,1444,507,1600,1681,588,1849,1936,675,2116,2209,768,2401,2500
%N A046162 Reduced numerators of (n-1)^2/(n^2+n+1). Arises in Routh's theorem.
%C A046162 Multiplicative with a(3^e) = 3^(2e-1), p^(2e) otherwise. David W. Wilson 
               (davidwwilson(AT)comcast.net) Jun 12, 2005.
%H A046162 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               RouthsTheorem.html">Link to a section of The World of Mathematics.</
               a>
%F A046162 G.f.: x(x^8+4x^7+3x^6+13x^5+13x^4+3x^3+4x^2+x)/(1-x^3)^3.
%F A046162 a(n) = n^2/3 == 0 mod 3, n^2 otherwise. David W. Wilson (davidwwilson(AT)comcast.net) 
               Jun 12, 2005.
%p A046162 seq(numer((n-1)^2/(n^2+n+1)), n=1..51) ; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jun 04 2008
%p A046162 seq(denom(3/n^2-2), n=0..76) ; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jun 04 2008
%Y A046162 Cf. A046163.
%Y A046162 Sequence in context: A127675 A058557 A038233 this_sequence A060509 A113203 
               A034486
%Y A046162 Adjacent sequences: A046159 A046160 A046161 this_sequence A046163 A046164 
               A046165
%K A046162 nonn,mult
%O A046162 1,3
%A A046162 Eric Weisstein (eric(AT)weisstein.com)

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