A294856 Number of compositions (ordered partitions) of 1 into exactly 8*n+1 powers of 1/9.

1, 1, 24310, 26293568950, 365077361327242168, 34883776613634643730481238, 15732393344641740454307566725567376, 25997337847684377365651388718120083246723460, 131223281654667714701311635640432890136981994039662720

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..71

Formula

a(n) = [x^(9^n)] (Sum_{j=0..8*n+1} x^(9^j))^(8*n+1).

Crossrefs

Column k=8 of A294746.

Sequence in context: A194721 A140923 A208622 * A025041 A156843 A156844

Adjacent sequences: A294853 A294854 A294855 * A294857 A294858 A294859

Keyword

nonn

Author

Alois P. Heinz, Nov 09 2017

Status

approved