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Some properties of diagonal binomial coefficients were studied in respect tofrequency of their units digits. An approach was formulated that led to use ofdifference tables to predict if certain units digits can appear in the valuesof binomial coefficients at quadratic terms of the binomial theorem. Frequencydistributions of units digits of binomial coefficients contain gaps (zerofrequency) under most common numbering systems with supposed exclusion tosystems with 2^n bases. Binomial coefficient arithmetics may be used to modelcell population dynamics in a multicellular organism, which implies that thedynamics obeys power function laws.

Use of difference tables at studying of properties of binomial coefficients