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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A075820 Coefficients of power series generated by the continued fraction-like form: A(x) = 1/(1 - x/sqrt(1 - 4x/cube-root(1 - 9x/4th-root(1 - 16x/5th-root(1 - 25x/... /nth-root(1 - (n^2)x/...)))))), where n-th-root(z)=z^(1/n). 0
1, 1, 3, 17, 151, 1901, 31841, 679243, 17873349, 566127595, 21172659297, 920475938637, 45922819496273, 2600893043805459, 165687190863751905, 11778064492639412479, 927828923151187295125, 80505341430961590290171 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

A(x) = 1/f_1(x), where f_1(x)=[1 - x/f_2(x)], [f_2(x)]^2 = [1 - 4x/f_3(x)], [f_3(x)]^3 = [1 - 9x/f_4(x)], ..., [f_n(x)]^n = [1 - (n^2)x/f_{n+1}(x)], n>0.

CROSSREFS

Sequence in context: A135750 A182957 A007767 * A145081 A020562 A193161

Adjacent sequences:  A075817 A075818 A075819 * A075821 A075822 A075823

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 14 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 14 01:35 EST 2012. Contains 205567 sequences.