A346566 - OEIS

%I #5 Jul 23 2021 21:03:03

%S 1,1,2,14474,131204813713122,132431858995585724536583901671708647,

%T 20717425607872632053632351670738034346764162305716050849113959210873829416

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

%C The next term is too large to include.

%H <a href="/index/Com#comp">Index entries for sequences related to compositions</a>

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

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

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

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Jul 23 2021