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!)
A186001 Expansion of 1/(1-x/(1-x/(1-x/(1-2x/(1-x/(1-4x/(1-x/(1-6x/(1-... (continued fraction). 1
1, 1, 2, 5, 15, 52, 205, 917, 4658, 26817, 173899, 1257916, 10036409, 87351977, 821268402, 8273013085, 88696718215, 1006586902196, 12037812901733, 151136735414301, 1985815346287906 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Hankel transform is A186002.
LINKS
FORMULA
G.f.: 1/(1-x/(1-x*g(x))), g(x) the g.f. of A004211.
G.f.: 1/(1-x-x^2/(1-2x-2x^2/(1-3x-4x^2/(1-5x-6x^2/(1-7x-8x^2/(1-.... (continued fraction).
a(n)=if(n=0,1,a(n-1)+sum{i=0..n-2, A004211(i)*a(n-1-i)}.
CROSSREFS
Sequence in context: A336022 A303924 A336021 * A134381 A107589 A249892
KEYWORD
nonn,easy
AUTHOR
Paul Barry, Feb 09 2011
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 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)