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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A009468 Expansion of sin(log(1+x)^2). 2
 0, 0, 2, -6, 22, -100, 428, -1008, -12504, 325152, -5509368, 85326120, -1301444520, 20069047440, -316157970000, 5106165734880, -84530527771200, 1430269752307200, -24598613333889120, 426082994004863520, -7316749927773684000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n) = sum(k=0..(n-1)/2, ((-1)^k*(4*k+2)!*stirling1(n,4*k+2))/(2*k+1)!). - Vladimir Kruchinin, Jun 28 2011 EXAMPLE sin(log(x+1)^2) = 2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... MATHEMATICA Sin[ Log[ 1+x ]^2 ] PROG (Maxima) a(n):=sum(((-1)^k*(4*k+2)!*stirling1(n, 4*k+2))/(2*k+1)!, k, 0, ((n-1)/2)); /* Vladimir Kruchinin, Jun 28 2011 */ CROSSREFS Sequence in context: A009789 A012271 A012266 * A088819 A177478 A052517 Adjacent sequences:  A009465 A009466 A009467 * A009469 A009470 A009471 KEYWORD sign,easy AUTHOR 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.

Last modified April 21 02:10 EDT 2021. Contains 343143 sequences. (Running on oeis4.)