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Number of compositions (ordered partitions) of 1 into exactly 8*n+1 powers of 1/9.
2

%I #4 Nov 09 2017 20:10:58

%S 1,1,24310,26293568950,365077361327242168,34883776613634643730481238,

%T 15732393344641740454307566725567376,

%U 25997337847684377365651388718120083246723460,131223281654667714701311635640432890136981994039662720

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

%H Alois P. Heinz, <a href="/A294856/b294856.txt">Table of n, a(n) for n = 0..71</a>

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

%Y Column k=8 of A294746.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Nov 09 2017