login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A009334 E.g.f. log(1+sin(x))*exp(x). 5
0, 1, 1, 1, 0, 0, -5, 5, -56, 224, -1441, 9029, -64592, 497068, -4153357, 37288173, -358469008, 3672613632, -39954165153, 459970973037, -5587015067704, 71405586701516, -957909748415229, 13458304798985221, -197627582943979080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Matthew House, Table of n, a(n) for n = 0..486

FORMULA

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

a(n) = Sum_{j=0..n-1}(-1)^j*binomial(n,j+1)*A000111(j). - Robert Israel, Aug 06 2015

MAPLE

S:= series(log(1+sin(x))*exp(x), x, 101):

seq(coeff(S, x, j)*j!, j=0..100); # Robert Israel, Aug 06 2015

MATHEMATICA

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

CROSSREFS

Cf. A000111.

Sequence in context: A073128 A189749 A009390 * A151467 A241209 A171726

Adjacent sequences:  A009331 A009332 A009333 * A009335 A009336 A009337

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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 30 17:27 EDT 2022. Contains 357106 sequences. (Running on oeis4.)