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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A285348 Expansion of r(q^2) / r(q)^2 in powers of q where r() is the Rogers-Ramanujan continued fraction. 8
1, 2, 0, -4, -2, 6, 8, -4, -16, -6, 20, 24, -12, -44, -16, 52, 62, -28, -108, -40, 122, 144, -64, -244, -88, 266, 308, -136, -508, -180, 544, 624, -272, -1008, -356, 1060, 1206, -524, -1920, -672, 1988, 2244, -968, -3524, -1224, 3606, 4048, -1732, -6284 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Let k(q) = r(q) * r(q^2)^2.

G.f. satisfies: A(q) = (1 + k(q))/(1 - k(q)).

And r(q^2)^5 = k(q)^2 * A(q).

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Wikipedia, Rogers-Ramanujan continued fraction

FORMULA

a(n) = A285349(n) - A138518(n) for n>0 (conjectured). - Thomas Baruchel, May 14 2018

CROSSREFS

r(q^k) / r(q)^k: this sequence (k=2), A285583 (k=3), A285584 (k=4), A285585 (k=5).

Cf. A007325, A078905 (r(q)^5), A112274 (k(q)), A112803 (1 + k(q)), A285349, A285355 (k(q)^2).

Sequence in context: A168232 A253136 A216960 * A163123 A194346 A328598

Adjacent sequences:  A285345 A285346 A285347 * A285349 A285350 A285351

KEYWORD

sign

AUTHOR

Seiichi Manyama, Apr 17 2017

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 September 27 16:20 EDT 2020. Contains 337383 sequences. (Running on oeis4.)