A Combinatorial Interpretation for Sequence A345973 in OEIS

Abstract

We give a combinatorial interpretation in terms of bicolored ordered trees for the sequence (an)n>=1=(1, 1, 1, 2, 3, 6, 10, 20, 36, 73,... ), A345973 in OEIS, whose generating function satisfies the defining identity Sumn>=1an xn = x + x2/Productn>=1(1 - an xn).

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