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%I #9 Apr 25 2019 04:45:16
%S 0,0,1,0,1,3,0,1,9,11,0,1,21,66,50,0,1,45,275,500,274,0,1,93,990,3250,
%T 4110,1764,0,1,189,3311,17500,38360,37044,13068,0,1,381,10626,85050,
%U 287700,469224,365904,109584,0,1,765,33275,388500,1904574,4667544,6037416,3945024,1026576,0,1,1533,102630,1705250,11651850,40266828,76839840,82188000,46195920,10628640
%N Triangle read by rows: coefficients of harmonic-geometric polynomials.
%H Ayhan Dil and Veli Kurt, <a href="https://www.emis.de/journals/INTEGERS/papers/m38/m38.Abstract.html">Polynomials related to harmonic numbers and evaluation of harmonic number series I</a>, INTEGERS, 12 (2012), #A38.
%F The n-th polynomial is Sum_{k=0..n} Stirling2(n,k)*|Stirling1(k+1,2)|*x^k.
%e Triangle begins:
%e [0]
%e [0, 1]
%e [0, 1, 3]
%e [0, 1, 9, 11]
%e [0, 1, 21, 66, 50]
%e [0, 1, 45, 275, 500, 274]
%e [0, 1, 93, 990, 3250, 4110, 1764]
%e [0, 1, 189, 3311, 17500, 38360, 37044, 13068]
%e [0, 1, 381, 10626, 85050, 287700, 469224, 365904, 109584]
%e ...
%Y Row sums give A222058. See A222057 for another version.
%K nonn,tabl
%O 0,6
%A _N. J. A. Sloane_, Feb 08 2013
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