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!)
A031123 Expansion of Sum_{m>=1} z^(m^2)/(1-z^((m+1)^2)). 1
0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 3, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,10
LINKS
N. Luzin, Function: Part II, Amer. Math. Monthly, 105 (1998), 263-270.
MATHEMATICA
nmax = 100; CoefficientList[Series[Sum[x^(m^2)/(1 - x^((m+1)^2)), {m, 1, Floor[Sqrt[nmax]] + 1}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 04 2017 *)
PROG
(PARI) lista(nn) = concat(0, Vec(sum(m=1, nn, z^(m^2)/(1-z^((m+1)^2) + O(z^nn))))); \\ Michel Marcus, Oct 02 2017
CROSSREFS
Cf. A031124.
Sequence in context: A359241 A047753 A303947 * A359542 A104194 A292261
KEYWORD
nonn
AUTHOR
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 1 20:05 EST 2024. Contains 370443 sequences. (Running on oeis4.)