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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A009448 E.g.f. sin(x*exp(x)). 5
0, 1, 2, 2, -8, -84, -504, -2304, -6656, 15760, 484000, 5348320, 44393856, 288642368, 1137006976, -5372233216, -195241910272, -2961479980800, -34259767672320, -320473550808576, -2158264400250880, -1727938748171264, 278774033845987328 (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(j=0..(n-1)/2, binomial(n,2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j). - Vladimir Kruchinin, Jun 10 2011

MATHEMATICA

With[{nn=30}, CoefficientList[Series[Sin[x Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 17 2012 *)

PROG

(Maxima)

a(n):=sum(binomial(n, 2*j+1)*(2*j+1)^(n-2*j-1)*(-1)^j, j, 0, (n-1)/2); /* Vladimir Kruchinin, Jun 10 2011 */

CROSSREFS

Sequence in context: A297010 A012413 A012659 * A012410 A295382 A123642

Adjacent sequences:  A009445 A009446 A009447 * A009449 A009450 A009451

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 16 05:00 EST 2019. Contains 320140 sequences. (Running on oeis4.)