A222060 Triangle read by rows: coefficients of harmonic-geometric polynomials.

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, 4110, 1764, 0, 1, 189, 3311, 17500, 38360, 37044, 13068, 0, 1, 381, 10626, 85050, 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

Offset: 0

Author

N. J. A. Sloane, Feb 08 2013

Keywords

• nonn
• tabl

Examples

			Triangle begins:
[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, 4110, 1764]
[0, 1, 189, 3311, 17500, 38360, 37044, 13068]
[0, 1, 381, 10626, 85050, 287700, 469224, 365904, 109584]
...
		

Links

• Ayhan Dil and Veli Kurt, Polynomials related to harmonic numbers and evaluation of harmonic number series I, INTEGERS, 12 (2012), #A38.

Crossrefs

Row sums give A222058. See A222057 for another version.

Formula

The n-th polynomial is Sum_{k=0..n} Stirling2(n,k)*|Stirling1(k+1,2)|*x^k.