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!)
A301742 a(n) = [x^n] 1/(1 - n*Sum_{k>=1} x^(k^3)). 0
1, 1, 4, 27, 256, 3125, 46656, 823543, 16777224, 387420651, 10000003000, 285311729175, 8916101692416, 302875135553107, 11112007563452544, 437893910883984375, 18446744692184842496, 827240282046275783406, 39346408782249049076832, 1978419682220092642678901, 104857601064960000960000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of compositions (ordered partitions) of n into cubes of n kinds.

LINKS

Table of n, a(n) for n=0..20.

Index entries for sequences related to compositions

Index entries for sequences related to sums of cubes

MATHEMATICA

Table[SeriesCoefficient[1/(1 - n Sum[x^k^3, {k, 1, n}]), {x, 0, n}], {n, 0, 20}]

CROSSREFS

Cf. A000578, A023358, A300975, A301335.

Sequence in context: A000312 A177885 A086783 * A050764 A302108 A240582

Adjacent sequences:  A301739 A301740 A301741 * A301743 A301744 A301745

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 26 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)