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!)
A327690 Expansion of Product_{k>=1} B(x^k), where B(x) is the g.f. of A003114. 4
1, 1, 2, 3, 6, 8, 14, 19, 31, 43, 64, 88, 131, 176, 250, 337, 471, 626, 859, 1133, 1532, 2008, 2674, 3479, 4595, 5933, 7745, 9952, 12888, 16451, 21142, 26842, 34260, 43283, 54878, 68993, 87017, 108884, 136564, 170191, 212441, 263646, 327616, 405034, 501203, 617423, 760964 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000 (terms 0..1000 from Seiichi Manyama)

FORMULA

G.f.: Product_{i>=1} Product_{j>=1} 1 / ((1-x^(i*(5*j-1))) * (1-x^(i*(5*j-4)))).

MATHEMATICA

nmax = 50; CoefficientList[Series[Product[1/(QPochhammer[x^(5*j - 4)] * QPochhammer[x^(5*j - 1)]), {j, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Sep 23 2019 *)

CROSSREFS

Cf. A003114, A327688, A327691.

Sequence in context: A212214 A089426 A167934 * A182269 A321360 A321566

Adjacent sequences:  A327687 A327688 A327689 * A327691 A327692 A327693

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 22 2019

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 May 25 03:39 EDT 2022. Contains 354047 sequences. (Running on oeis4.)