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!)
A347572 Number of partitions of n into 5 or more distinct parts. 5
1, 1, 2, 3, 5, 7, 11, 14, 20, 26, 35, 44, 58, 72, 91, 112, 139, 168, 206, 246, 297, 353, 420, 494, 584, 682, 798, 927, 1077, 1243, 1437, 1649, 1894, 2166, 2475, 2817, 3207, 3636, 4121, 4658, 5261, 5926, 6673, 7494, 8412, 9425, 10550, 11788, 13166, 14677, 16352 (list; graph; refs; listen; history; text; internal format)
OFFSET

15,3

LINKS

Table of n, a(n) for n=15..65.

FORMULA

G.f.: Sum_{k>=5} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).

MATHEMATICA

nmax = 65; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 5, nmax}], {x, 0, nmax}], x] // Drop[#, 15] &

CROSSREFS

Cf. A111133, A347548, A347549, A347573, A347574, A347575, A347576, A347577.

Sequence in context: A026812 A001402 A008629 * A238864 A070289 A035961

Adjacent sequences:  A347569 A347570 A347571 * A347573 A347574 A347575

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Sep 07 2021

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 September 29 12:57 EDT 2022. Contains 357090 sequences. (Running on oeis4.)