Search: id:A131711
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%I A131711
%S A131711 0,1,2,5,2,9,0,9,8,5,8,1,0,1,2,5,2,9,0,9,8,5,8,1,0,1,2,5,2,9,0,9,8,5,8,
%T A131711 1,0,1,2,5,2,9,0,9,8,5,8,1
%N A131711 Period 12: repeat 0, 1, 2, 5, 2, 9, 0, 9, 8, 5, 8, 1.
%C A131711 Final digits of Pell numbers. First differences: 1, 1, 3, -3, 7, -9, 
               9, -1, -3, 3 -7, -1, 1 (cf. A131707).
%F A131711 a(n)=(1/198)*{29*(n mod 12)+128*[(n+1) mod 12]-37*[(n+2) mod 12]+62*[(n+3) 
               mod 12]+29*[(n+4) mod 12]-136*[(n+5) mod 12]+161*[(n+6) mod 12]-103*[(n+7) 
               mod 12]+62*[(n+8) mod 12]-37*[(n+9) mod 12]-4*[(n+10) mod 12]-4*[(n+11) 
               mod 12]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Oct 02 2007
%F A131711 G.f.: (x^8+8x^7+4x^6+5x^4+4x^2+2x+1)x/((1-x) (1+x) (x^2+x+1) (x^2-x+1) 
               (x^4-x^2+1)). a(n) = |A131201(n)| = A000129(n) mod 10 = A000129(n)-10*A131727(n). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 20 2008]
%Y A131711 Sequence in context: A065223 A029621 A134349 this_sequence A131201 A070633 
               A119764
%Y A131711 Adjacent sequences: A131708 A131709 A131710 this_sequence A131712 A131713 
               A131714
%K A131711 nonn
%O A131711 0,3
%A A131711 Paul Curtz (bpcrtz(AT)free.fr), Sep 14 2007

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