OFFSET
0,2
COMMENTS
Equals the self-convolution 5th power of A106223. What is the frequency of occurrence of the nonzero digits?
FORMULA
A(z)=0 at z=-0.1999361633111821182995648612577212067...
EXAMPLE
A(x) = 1 + 5*x + x^5 + 3*x^10 + x^15 + 4*x^20 + x^35 +...
A(x)^(1/5) = 1 + x - 2*x^2 + 6*x^3 - 21*x^4 + 80*x^5 - 320*x^6 +-...
A106223 = {1,1,-2,6,-21,80,-320,1326,-5637,24434,...}.
PROG
(PARI) {a(n)=local(A=1+5*x); if(n==0, 1, for(j=1, n, for(k=0, 4, t=polcoeff((A+k*x^j+x*O(x^j))^(1/5), j); if(denominator(t)==1, A=A+k*x^j; break))); return(polcoeff(A+x*O(x^n), n)))}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, May 01 2005
STATUS
approved