login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317169 Expansion of e.g.f. BesselI(1,2*log(1 - x))/((1 - x)*log(1 - x)). 1
1, 1, 3, 12, 61, 375, 2699, 22232, 206086, 2122110, 24023623, 296474178, 3960532707, 56931074109, 876098828097, 14369369855760, 250215898045984, 4609913757678432, 89586669708676510, 1831372328505086980, 39284382532454768754, 882269612910279500214, 20703128006754726971507 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = Sum_{k=0..n} |Stirling1(n,k)|*A001006(k).

MAPLE

a:=series(BesselI(1, 2*log(1 - x))/((1 - x)*log(1 - x)), x=0, 23): seq(n!*coeff(a, x, n), n=0..22); # Paolo P. Lava, Mar 26 2019

MATHEMATICA

nmax = 22; CoefficientList[Series[BesselI[1, 2 Log[1 - x]]/((1 - x) Log[1 - x]), {x, 0, nmax}], x] Range[0, nmax]!

Table[Sum[Abs[StirlingS1[n, k]] Hypergeometric2F1[(1 - k)/2, -k/2, 2, 4], {k, 0, n}], {n, 0, 22}]

CROSSREFS

Cf. A001006, A086662, A086672, A317170.

Sequence in context: A159925 A331607 A235802 * A121694 A331616 A158691

Adjacent sequences:  A317166 A317167 A317168 * A317170 A317171 A317172

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 23 2018

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 October 28 21:20 EDT 2020. Contains 338064 sequences. (Running on oeis4.)