A new pseudoperturbative (artificial in nature) methodical proposal [15] is
used to solve for Schrodinger equation with a class of phenomenologically
useful and methodically challenging anharmonic oscillator potentials V(q) =
alpha(o)q(2) + alpha q(4). The effect of the [4, 5] Pade approximant on th
e leading eigenenergy term is studied. Comparison with results from numeric
al (exact) and several eligible (approximation) methods is made.