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A222060 Triangle read by rows: coefficients of harmonic-geometric polynomials. 2
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

REFERENCES

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

LINKS

Table of n, a(n) for n=0..65.

FORMULA

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

EXAMPLE

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]

...

CROSSREFS

Row sums give A222058. See A222057 for another version.

Sequence in context: A152150 A136239 A225443 * A256549 A211608 A058175

Adjacent sequences:  A222057 A222058 A222059 * A222061 A222062 A222063

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Feb 08 2013

STATUS

approved

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Last modified April 24 18:03 EDT 2019. Contains 322430 sequences. (Running on oeis4.)