A196197 Successive values of variable in iterative system. See formula.

1, 2, 46, 9524, 668167328, 2659622445121618432, 49010511918326168029213178565961711616, 16062797652514333892481251366398766288832009528055271611504951962161641422848

Offset: 1

Author

Daniel Tisdale, Sep 29 2011

Keywords

• nonn

Programs

PARI

v=[1,1,0,1,1];for(n=1,10,a=v[1];b=v[2];c=v[3];d=v[4];e=v[5];print1(e", ");v=[2*a*d+b*d,2*a*e+b*d+b*e+2*c*d+c*e,b*e+c*e,2*a*d+2*a*e+b*d+b*e+c*e,b*d+b*e+2*c*d+c*e]) \\ Charles R Greathouse IV, Sep 29 2011

Formula

Successive values of e in iterative system (LHS subscript for a-e is _n+1, RHS subscript for a-e is _n): a = 2ad + bd; b = 2ae + bd + be + 2cd + ce; c = be + ce; d = 2ad + 2ae + bd + be + ce; e = bd + be + 2cd + ce. The initial values for the system are a=b=d=e=1, c=0.