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Column k=3 of A309386.
Seiichi Manyama, <a href="/A317996/b317996.txt">Table of n, a(n) for n = 0..495</a>
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a:=series(exp((1 - exp(-3*x))/3), x=0, 24): seq(n!*coeff(a, x, n), n=0..23); # Paolo P. Lava, Mar 26 2019
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