In this study we find all solutions of the Diophantine equation $B_{n_{1}}+B_{n_{2}}=2^{a_{1}}+2^{a_{2}}+2^{a_{3}}$ in positive integer variables $(n_{1},n_{2},a_{1},a_{2},a_{3}),$ where $B_{n}$ denotes $n$-th balancing number.

compound n2, n3, n7, n8, 1, 4, 5, 6, 9, 10-decaphenyltetradecahydrodipyrazino [2, 3-b: 2, 3-e] pyrazine-2, 3, 7, 8-tetraamine (4) was prepared by condensation of 1, 1′, 2, 2′-tetrakis (phenylamino) ethane (1d) and glyoxal in etoh or i-proh. also, reaction of 1d with glyoxal in equimolare in etoh resulted 5,6-bis (ethoxy)-n2, n3, 1, 4-tetraphenylhexahydro-2, 3-pyrazinediamine (5). the natures of...