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!)
A022595 Expansion of Product_{m >=1} (1+q^m)^31. 2
1, 31, 496, 5487, 47337, 340039, 2118385, 11763911, 59384158, 276491170, 1200703594, 4906332242, 18998567031, 70120824201, 247873586247, 842625902072, 2764160465375, 8776228494225, 27038961793349, 81019542614568, 236575764828149, 674366427736330, 1879524499776454 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) ~ (31/3)^(1/4) * exp(Pi * sqrt(31*n/3)) / (131072 * n^(3/4)). - Vaclav Kotesovec, Mar 05 2015
MATHEMATICA
nmax=50; CoefficientList[Series[Product[(1+q^m)^31, {m, 1, nmax}], {q, 0, nmax}], q] (* Vaclav Kotesovec, Mar 05 2015 *)
PROG
(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+q^n)^31)) \\ G. C. Greubel, Mar 20 2018
(Magma) Coefficients(&*[(1+x^m)^31:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Mar 20 2018
CROSSREFS
Column k=31 of A286335.
Sequence in context: A162378 A162737 A010983 * A125488 A319427 A241888
KEYWORD
nonn
AUTHOR
EXTENSIONS
Terms a(19) onward added by G. C. Greubel, Mar 20 2018
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 June 21 09:49 EDT 2024. Contains 373543 sequences. (Running on oeis4.)