A346566 Number of compositions (ordered partitions) of n^4 into fourth powers.

1, 1, 2, 14474, 131204813713122, 132431858995585724536583901671708647, 20717425607872632053632351670738034346764162305716050849113959210873829416

Offset

0,3

Comments

The next term is too large to include.

Links

Table of n, a(n) for n=0..6.

Index entries for sequences related to compositions

Formula

a(n) = [x^(n^4)] 1 / (1 - Sum_{k>=1} x^(k^4)).

Mathematica

Table[SeriesCoefficient[1/(1 - Sum[x^(k^4), {k, 1, n}]), {x, 0, n^4}], {n, 0, 6}]

Crossrefs

Cf. A000583, A224366, A259793, A290247, A337989.

Sequence in context: A170994 A151599 A297573 * A159730 A264944 A242855

Adjacent sequences: A346563 A346564 A346565 * A346567 A346568 A346569

Keyword

nonn

Author

Ilya Gutkovskiy, Jul 23 2021

Status

approved