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!)
A317280 Expansion of e.g.f. 1/(1 - log(1 + x))^2. 1
1, 2, 4, 10, 30, 108, 444, 2112, 11040, 65712, 414816, 2992944, 21876816, 188936928, 1527813216, 15991733376, 133364903040, 1794144752640, 13329036288000, 270750383400960, 1167153128110080, 57074973648030720, -103080839984916480, 17319631144046423040, -171982551742151685120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Exponential self-convolution of A006252.

LINKS

Table of n, a(n) for n=0..24.

N. J. A. Sloane, Transforms

FORMULA

a(n) = Sum_{k=0..n} Stirling1(n,k)*(k + 1)!.

MAPLE

a:=series(1/(1 - log(1 + x))^2, x=0, 25): seq(n!*coeff(a, x, n), n=0..24); # Paolo P. Lava, Mar 26 2019

MATHEMATICA

nmax = 24; CoefficientList[Series[1/(1 - Log[1 + x])^2, {x, 0, nmax}], x] Range[0, nmax]!

Table[Sum[StirlingS1[n, k] (k + 1)!, {k, 0, n}], {n, 0, 24}]

CROSSREFS

Cf. A005649, A006252, A052801, A089064.

Sequence in context: A332650 A091174 A005193 * A173940 A101901 A124384

Adjacent sequences:  A317277 A317278 A317279 * A317281 A317282 A317283

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Jul 25 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 June 20 17:43 EDT 2021. Contains 345199 sequences. (Running on oeis4.)