login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A261899 Values of |G-hat_2(n)|, a sum involving Stirling numbers of the second kind. 1
1, 1, 5, 36, 340, 3955, 54495, 866250, 15585570, 312837525, 6926344425, 167610643200, 4399779384000, 124490841049575, 3776362727011875, 122240308063623750, 4205265824898888750, 153199195863404315625, 5891484566433038698125, 238487970732928954537500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..400

H. W. Gould, Harris Kwong, Jocelyn Quaintance, On Certain Sums of Stirling Numbers with Binomial Coefficients, J. Integer Sequences, 18 (2015), #15.9.6.

MAPLE

a:= n-> (m-> abs(add((-1)^k*binomial(2*n+m, n-k)

         *combinat[stirling2](n+k, k), k=0..n)))(-2):

seq(a(n), n=0..20);  # Alois P. Heinz, Sep 06 2015

MATHEMATICA

a[n_] := Function[m, Abs @ Sum[(-1)^k*Binomial[2n+m, n-k]*StirlingS2[n+k, k], {k, 0, n}]][-2]; Table[a[n], {n, 0, 20}] (* Jean-Fran├žois Alcover, Feb 28 2017, after Alois P. Heinz *)

CROSSREFS

Sequence in context: A141764 A075744 A277610 * A109186 A099391 A008785

Adjacent sequences:  A261896 A261897 A261898 * A261900 A261901 A261902

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 06 2015

EXTENSIONS

More terms from Alois P. Heinz, Sep 06 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 17:10 EDT 2019. Contains 322229 sequences. (Running on oeis4.)