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!)
A355211 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (1 - exp(-x))). 3
1, 2, 6, 26, 182, 2746, 111350, 11245882, 2521162358, 1193350247226, 1165982253097718, 2322179762944209722, 9356100009656750248822, 75909020176742648718140218, 1236750544861403327611377577974, 40395601774769639548336167153191738 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(1) = 1; a(n+1) = Sum_{k=1..n} (-1)^(n-k) * 2^k * Stirling2(n,k) * a(k).
PROG
(PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i, (-1)^(i-j)*2^j*stirling(i, j, 2)*v[j])); v;
CROSSREFS
Sequence in context: A288607 A086584 A351288 * A211604 A032014 A112948
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 24 2022
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 March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)