Search: id:A092876
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%I A092876
%S A092876 1,1,1,2,1,0,1,1,1,2,0,0,2,2,3,2,6,3,1,2,2,2,4,0,2,5,7,8,6,16,7,1,6,6,
               7,
%T A092876 10,1,2,11,14,17,12,34,16,3,12,11,12,22,1,6,24,30,36,25,70,32,6,25,24,
               26,42,
%U A092876 2,10,45,56,68,48,132,60,12,45,43,46,78,4,22,84,106,126,89,242,110,20,
               84,80
%V A092876 1,-1,1,-2,1,0,1,1,-1,-2,0,0,2,2,-3,2,-6,3,1,2,2,-2,-4,0,-2,5,7,-8,6,-16,
               7,1,6,6,-7,
%W A092876 -10,1,-2,11,14,-17,12,-34,16,3,12,11,-12,-22,1,-6,24,30,-36,25,-70,32,
               6,25,24,-26,-42,
%X A092876 2,-10,45,56,-68,48,-132,60,12,45,43,-46,-78,4,-22,84,106,-126,89,-242,
               110,20,84,80
%N A092876 Coefficients of a solution to a functional equation.
%C A092876 Euler transform of period 13 sequence [ -1,1,-1,-1,1,1,1,1,-1,-1,1,-1,
               0,...].
%F A092876 G.f. A(x) satisfies 0=f(A(x), A(x^2)) where f(u, v)=u^2-v+u*v^3+u^3*v^2+2*u*v*(1-u+v+u*v).
%F A092876 G.f. A(x) satisfies 0=f(A(x), A(x^3)) where f(u, v)=u^3*v*(3+3*v+v^2) 
               +3*u^2*v*(v^2+v-1) +u*v*(1-3*v+3*v^2) -(u^4+v^4)
%F A092876 G.f.: x Product_{k>0} (1-x^k)^kronecker(13, k).
%o A092876 (PARI) {a(n)=if(n<1, 0, n--; polcoeff( prod(k=1,n,(1-x^k)^kronecker(13,
               k),1+x*O(x^n)), n))} /* Michael Somos Oct 24 2005 */
%o A092876 (PARI) {a(n)=local(A,u,v); if(n<0,0,A=x; for(k=2,n,u=A+x*O(x^k); v=subst(u,
               x,x^2); A-=x^k*polcoeff(u^2-v+u*v^3+u^3*v^2+2*u*v*(1-u+v+u*v),k+1)/
               2); polcoeff(A,n))}
%Y A092876 Sequence in context: A130654 A053259 A143842 this_sequence A024940 A054635 
               A003137
%Y A092876 Adjacent sequences: A092873 A092874 A092875 this_sequence A092877 A092878 
               A092879
%K A092876 sign
%O A092876 1,4
%A A092876 Michael Somos, Mar 09 2004

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