Search: id:A007752
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%I A007752
%S A007752 1,24,391,6240,99457,1585080,25261831,402604224,6416405761,
%T A007752 102259887960,1629741801607,25973608937760,413948001202561,
%U A007752 6597194410303224,105141162563649031,1675661406608081280
%N A007752 Odd bisection of A007750.
%D A007752 Mentioned in a problem on p. 334 of Two-Year College Math. Jnl., Vol. 
               25, 1994.
%F A007752 G.f.: x(1+7x)/((1-x)(1-16x+x^2)). a(n)=16a(n-1)-a(n-2)+8.
%F A007752 a(n)=-4/7+(11/14)*[8-3*sqrt(7)]^n+(11/14)*[8+3*sqrt(7)]^n+(2/7)*sqrt(7)*[8+3*sqrt(7)]^n-(2/
               7) *[8-3*sqrt(7)]^n*sqrt(7), with n>=0 - Paolo P. Lava (ppl(AT)spl.at), 
               Jun 19 2008
%o A007752 (PARI) a(n)=local(w); w=8+3*quadgen(28); imag(1/w^n)+4*(real(1/w^n)-1)/
               7
%Y A007752 Cf. A007750, A007751.
%Y A007752 Sequence in context: A020573 A022448 A025947 this_sequence A145602 A020447 
               A021894
%Y A007752 Adjacent sequences: A007749 A007750 A007751 this_sequence A007753 A007754 
               A007755
%K A007752 nonn
%O A007752 1,2
%A A007752 John C. Hallyburton, Jr. [ hallyb(AT)vmsdev.enet.dec.com ].
%E A007752 Edited by Michael Somos, Jul 27, 2002

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