A very routine variational calculation of energies of certain elementary quantum oscillators. The results sampled in three compact tables are based on the use of a certain non-orthogonal basis. The presentation of very long formulae (e.g., more than a page for eq. (3.20)) looks redundant, equally well as Lemma 3.3 which is just a special case of Lemma 3.2. MR2411059 Katatbeh, Qutaibeh D.; Abu-Amra, Ma'zoozeh E. Matrix elements for sum of power-law potentials in quantum mechanic using generalized hypergeometric functions. Electron. J. Differential Equations 2008, No. 64, 15 pp. 81Q10 (33C90 34L15 34L16 34L40 81Q05)