For every prime p and every a ≥ 1, the paper gives a closed formula for the p-adic valuation of the Fibonomial coefficient (p^a n choose n)_F in terms of digit sums and the rank z(p).
Ballot, Divisibility of the middle Lucasnomial coeffic ient, Fibonacci Quart
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Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II
For every prime p and every a ≥ 1, the paper gives a closed formula for the p-adic valuation of the Fibonomial coefficient (p^a n choose n)_F in terms of digit sums and the rank z(p).