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%I #7 Mar 13 2015 19:19:58
%S 1,2,3,2,5,8,8,4,7,2,7,4,7,2,9,6,8,8,8,8,5,8,6,2,10,4,1,4,5,6,5,10,4,
%T 4,6,10,8,4,2,8,3,10,6,10,2,8,2,6,6,4,2,10,4,8,4,10,3,2,6,2,4,2,3,8,
%U 10,10,3,6,10,10,6,8,5,8,6,4,10,2,2,4,8,2,10,4,9,6,1,6,5,10,9,8,2,8,10,4,7,8
%N Every 5th term of A083950 where the self-convolution 5th power is congruent modulo 25 to A083950, which consists entirely of numbers 1 through 10.
%e A(x) = 1 + 2*x + 3*x^2 + 2*x^3 + 5*x^4 + 8*x^5 + 8*x^6 +...
%e A(x)^5 = 1 + 10*x + 55*x^2 + 210*x^3 + 635*x^4 + 1652*x^5 +...
%e A(x)^5 (mod 25) = 1 + 10*x + 5*x^2 + 10*x^3 + 10*x^4 + 2*x^5 +...
%e G(x) = 1 + 10*x + 5*x^2 + 10*x^3 + 10*x^4 + 2*x^5 + 5*x^6 +...
%e where G(x) is the g.f. of A083950.
%o (PARI) {a(n)=local(d=5,m=10,A=1+m*x); for(j=2,d*n, for(k=1,m,t=polcoeff((A+k*x^j+x*O(x^j))^(1/m),j); if(denominator(t)==1,A=A+k*x^j;break)));polcoeff(A,d*n)}
%Y Cf. A083950, A110641, A110643.
%K nonn
%O 0,2
%A _Robert G. Wilson v_ and _Paul D. Hanna_, Aug 30 2005
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