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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A009566 Expansion of e.g.f. sinh(log(1+log(1+x))). 2
0, 1, -2, 8, -47, 359, -3349, 36756, -462972, 6574704, -103861896, 1805930928, -34267701720, 704555489832, -15601914340440, 370195510608192, -9369769657984128, 251979258929744448, -7175127496412091456 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..415

FORMULA

a(n) ~ n! * (-1)^(n+1) * exp(n) / (2 * (exp(1)-1)^(n+1)). - Vaclav Kotesovec, Jan 23 2015

MATHEMATICA

CoefficientList[Series[(Log[1 + x]*(2 + Log[1 + x]))/(2*(1 + Log[1 + x]) ), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)

With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + Log[1 + x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jan 21 2018 *)

PROG

(PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+log(1+x)))))) \\ G. C. Greubel, Jan 21 2018

CROSSREFS

Sequence in context: A298698 A135904 A145846 * A259905 A233337 A199136

Adjacent sequences:  A009563 A009564 A009565 * A009567 A009568 A009569

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 25 16:14 EST 2018. Contains 299653 sequences. (Running on oeis4.)