OFFSET
0,3
FORMULA
Limit a(n+1)/a(n) = -5.001596426773442826534115368782519...
EXAMPLE
A(x) = 1 + x - 2*x^2 + 6*x^3 - 21*x^4 + 80*x^5 - 320*x^6 +-...
A(x)^5 = 1 + 5*x + x^5 + 3*x^10 + x^15 + 4*x^20 + x^35 +...
A106222 = {1,5,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,0,0,0,4,...}.
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))^(1/5), n)))}
CROSSREFS
KEYWORD
sign,base
AUTHOR
Paul D. Hanna, May 01 2005
STATUS
approved