When ordered from smallest to largest powers and with the denominators factored out, the triangle of nonzero coefficients is 1; , 1; 2, , 1; , 18, 1; 24, , ... (OEIS A021009).
The leading denominators are 1, , 2, , 24, , 720, , 40320, , 3628800, ... (OEIS A000142).
Solutions to the associated Laguerre differential equation with and an integer are called associated
Laguerre polynomials (Arfken 1985, p. 726) or, in older literature,
Sonine polynomials (Sonine 1880, p. 41; Whittaker and Watson 1990, p. 352).
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