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A346565
Number of compositions (ordered partitions) of 4^n into powers of 4.
1
1, 2, 96, 579739960, 773527571233557154337704151068262296
OFFSET
0,2
COMMENTS
The next term is too large to include.
FORMULA
a(n) = [x^(4^n)] 1 / (1 - Sum_{k>=0} x^(4^k)).
a(n) = A087221(A000302(n)).
MATHEMATICA
Table[SeriesCoefficient[1/(1 - Sum[x^(4^k), {k, 0, n}]), {x, 0, 4^n}], {n, 0, 4}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jul 23 2021
STATUS
approved