Search: id:A130848
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%I A130848
%S A130848 2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,
%T A130848 3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,
%U A130848 5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3,2,5,3
%V A130848 2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,
               -5,-3,2,5,3,-2,
%W A130848 -5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,
               3,-2,-5,-3,2,5,
%X A130848 3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,2,5,3,-2,-5,-3,
               2,5,3,-2,-5,-3
%N A130848 Periodic sequence with period (2, 5, 3, -2, -5, -3).
%C A130848 Also binomial transform of periodic sequence with period (2, 3, -5).
%C A130848 Sequence is identical to its third differences.
%F A130848 a(0) = 2; a(1) = 5; for n > 1, a(n) = a(n-1)-a(n-2).
%F A130848 a(0) = 2; a(1) = 5; a(2) = 3; a(3) = -2; a(4) = -5; a(5) = -3; for n 
               > 5, a(n) = a(n-6).
%F A130848 G.f.: (2+3*x)/(1-x+x^2).
%F A130848 a(n)=(1/6)*{-5*(n mod 6)-2*[(n+1) mod 6]+3*[(n+2) mod 6]+5*[(n+3) mod 
               6]+2*[(n+4) mod 6]-3*[(n+5) mod 6]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), 
               Aug 01 2007
%F A130848 a(n) = 2*cos(1/3*Pi*n)+8/3*3^(1/2)*sin(1/3*Pi*n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Nov 15 2007
%o A130848 (PARI) {m=104; a=2; b=5; print1(a=2, ",", b=5, ","); for(n=2, m, print1(c=b-a, 
               ","); a=b; b=c)} /* Klaus Brockhaus, Jul 30 2007 */
%o A130848 (MAGMA) m:=105; [ [2, 5, 3, -2, -5, -3][ (n-1) mod 6 + 1 ]: n in [1..m] 
               ]; /* Klaus Brockhaus, Jul 30 2007 */
%Y A130848 Sequence in context: A076840 A078375 A065261 this_sequence A156637 A163766 
               A004200
%Y A130848 Adjacent sequences: A130845 A130846 A130847 this_sequence A130849 A130850 
               A130851
%K A130848 sign
%O A130848 0,1
%A A130848 Paul Curtz (bpcrtz(AT)free.fr), Jul 21 2007
%E A130848 Edited by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 30 2007

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