No attempt will be made to provide a complete listing of the BBN calculations through the years, but some examples of those calculations are in order.
Along with the earlier examples,
Hoyle, F. and Thayer, R.J. 1964, Nature 203,1108.
Zeldovich, Ya.B. 1965, Adv.Astron.Astrophys. 3,241.
Peebles, P.J.E. 1966, Phys.Rev.Let. 16,410.
Wagoner, R.V., Fowler, W.A. and Hoyle, F. 1967, Ap.J. 148,3.
Schramm, D.N. and Wagoner, R.V. 1977, Ann.Rev.Nucl.Part.Sci. 27,37.
Olive, K.A., Schramm, D.N., Steigman, G., Turner, M.S. and Yang, J. 1981, Ap.J. 246,551.
Yang, J., Turner, M.S., Steigman, G., Schramm, D.N. and Olive, K.A. 1984, Ap.J. 281,493.
Boesgaard, A.M. and Steigman, G. 1985, Ann.Rev.Astron.Astrophys. 23, 318.
Kawano, L.H., Schramm, D.N. and Steigman, G. 1988, Ap.J.(Lett) 327, 750.
Krauss,L.M. and Romanelli,P. 1990, Ap.J. 358,47.
Walker, T.P., Steigman, G., Schramm, D.N., Olive, K.A., Kang, H. 1991, Ap.J. 376, 393.
Smith, M.S., Kawano, L.H., and Malaney, R.A. 1993, Ap.J.Sup. 85, 219.
should provide a useful start to the history of the topic.